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Finding the Fourth Proportional to 1,715.18, 2,572.90 and 674.68

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Solution

The fourth proportional to 1,715.18, 2,572.90 and 674.68 is: 1,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.18 : 2,572.90 = 674.68 : x
  2. Step 2: Convert to fraction form
    1,715.18/2,572.90 = 674.68/x
  3. Step 3: Cross multiply
    1,715.18x = 2,572.90 × 674.68
  4. Step 4: Simplify right side
    1,715.18x = 1,735,884.17
  5. Step 5: Solve for x
    x = 1,735,884.17/1,715.18
  6. Step 6: Final answer
    x = 1,012.07

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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.