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Finding the Fourth Proportional to 1,711.18, 2,566.20 and 670.93

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Solution

The fourth proportional to 1,711.18, 2,566.20 and 670.93 is: 1,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.18 : 2,566.20 = 670.93 : x
  2. Step 2: Convert to fraction form
    1,711.18/2,566.20 = 670.93/x
  3. Step 3: Cross multiply
    1,711.18x = 2,566.20 × 670.93
  4. Step 4: Simplify right side
    1,711.18x = 1,721,740.57
  5. Step 5: Solve for x
    x = 1,721,740.57/1,711.18
  6. Step 6: Final answer
    x = 1,006.17

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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.