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Finding the Fourth Proportional to 2,533.76, 3,772.36 and 2,497.34

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Solution

The fourth proportional to 2,533.76, 3,772.36 and 2,497.34 is: 3,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.76 : 3,772.36 = 2,497.34 : x
  2. Step 2: Convert to fraction form
    2,533.76/3,772.36 = 2,497.34/x
  3. Step 3: Cross multiply
    2,533.76x = 3,772.36 × 2,497.34
  4. Step 4: Simplify right side
    2,533.76x = 9,420,865.52
  5. Step 5: Solve for x
    x = 9,420,865.52/2,533.76
  6. Step 6: Final answer
    x = 3,718.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.