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Finding the Fourth Proportional to 1,426.24, 2,139.52 and 657.28

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Solution

The fourth proportional to 1,426.24, 2,139.52 and 657.28 is: 985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.24 : 2,139.52 = 657.28 : x
  2. Step 2: Convert to fraction form
    1,426.24/2,139.52 = 657.28/x
  3. Step 3: Cross multiply
    1,426.24x = 2,139.52 × 657.28
  4. Step 4: Simplify right side
    1,426.24x = 1,406,263.71
  5. Step 5: Solve for x
    x = 1,406,263.71/1,426.24
  6. Step 6: Final answer
    x = 985.99

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