Home / 1,688.19-2,329.44-942.12

Finding the Fourth Proportional to 1,688.19, 2,329.44 and 942.12

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Solution

The fourth proportional to 1,688.19, 2,329.44 and 942.12 is: 1,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.19 : 2,329.44 = 942.12 : x
  2. Step 2: Convert to fraction form
    1,688.19/2,329.44 = 942.12/x
  3. Step 3: Cross multiply
    1,688.19x = 2,329.44 × 942.12
  4. Step 4: Simplify right side
    1,688.19x = 2,194,612.01
  5. Step 5: Solve for x
    x = 2,194,612.01/1,688.19
  6. Step 6: Final answer
    x = 1,299.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.