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Finding the Fourth Proportional to 1,710.18, 2,564.70 and 669.92

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Solution

The fourth proportional to 1,710.18, 2,564.70 and 669.92 is: 1,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.18 : 2,564.70 = 669.92 : x
  2. Step 2: Convert to fraction form
    1,710.18/2,564.70 = 669.92/x
  3. Step 3: Cross multiply
    1,710.18x = 2,564.70 × 669.92
  4. Step 4: Simplify right side
    1,710.18x = 1,718,143.82
  5. Step 5: Solve for x
    x = 1,718,143.82/1,710.18
  6. Step 6: Final answer
    x = 1,004.66

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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.