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Finding the Fourth Proportional to 1,715.90, 2,574.43 and 546.10

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Solution

The fourth proportional to 1,715.90, 2,574.43 and 546.10 is: 819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.90 : 2,574.43 = 546.10 : x
  2. Step 2: Convert to fraction form
    1,715.90/2,574.43 = 546.10/x
  3. Step 3: Cross multiply
    1,715.90x = 2,574.43 × 546.10
  4. Step 4: Simplify right side
    1,715.90x = 1,405,896.22
  5. Step 5: Solve for x
    x = 1,405,896.22/1,715.90
  6. Step 6: Final answer
    x = 819.33

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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.