Home / 1,637.28-2,258.86-929.02

Finding the Fourth Proportional to 1,637.28, 2,258.86 and 929.02

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Solution

The fourth proportional to 1,637.28, 2,258.86 and 929.02 is: 1,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.28 : 2,258.86 = 929.02 : x
  2. Step 2: Convert to fraction form
    1,637.28/2,258.86 = 929.02/x
  3. Step 3: Cross multiply
    1,637.28x = 2,258.86 × 929.02
  4. Step 4: Simplify right side
    1,637.28x = 2,098,526.12
  5. Step 5: Solve for x
    x = 2,098,526.12/1,637.28
  6. Step 6: Final answer
    x = 1,281.71

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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.