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Finding the Fourth Proportional to 1,688.74, 2,533.11 and 867.12

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Solution

The fourth proportional to 1,688.74, 2,533.11 and 867.12 is: 1,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.74 : 2,533.11 = 867.12 : x
  2. Step 2: Convert to fraction form
    1,688.74/2,533.11 = 867.12/x
  3. Step 3: Cross multiply
    1,688.74x = 2,533.11 × 867.12
  4. Step 4: Simplify right side
    1,688.74x = 2,196,510.34
  5. Step 5: Solve for x
    x = 2,196,510.34/1,688.74
  6. Step 6: Final answer
    x = 1,300.68

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.