Home / 1,565.28-2,156.40-1,298.08

Finding the Fourth Proportional to 1,565.28, 2,156.40 and 1,298.08

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Solution

The fourth proportional to 1,565.28, 2,156.40 and 1,298.08 is: 1,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.28 : 2,156.40 = 1,298.08 : x
  2. Step 2: Convert to fraction form
    1,565.28/2,156.40 = 1,298.08/x
  3. Step 3: Cross multiply
    1,565.28x = 2,156.40 × 1,298.08
  4. Step 4: Simplify right side
    1,565.28x = 2,799,179.71
  5. Step 5: Solve for x
    x = 2,799,179.71/1,565.28
  6. Step 6: Final answer
    x = 1,788.29

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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.