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Finding the Fourth Proportional to 1,715.20, 2,566.24 and 946.24

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Solution

The fourth proportional to 1,715.20, 2,566.24 and 946.24 is: 1,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.20 : 2,566.24 = 946.24 : x
  2. Step 2: Convert to fraction form
    1,715.20/2,566.24 = 946.24/x
  3. Step 3: Cross multiply
    1,715.20x = 2,566.24 × 946.24
  4. Step 4: Simplify right side
    1,715.20x = 2,428,278.94
  5. Step 5: Solve for x
    x = 2,428,278.94/1,715.20
  6. Step 6: Final answer
    x = 1,415.74

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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.