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Finding the Fourth Proportional to 2,706.63, 4,060.34 and 952.10

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Solution

The fourth proportional to 2,706.63, 4,060.34 and 952.10 is: 1,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.63 : 4,060.34 = 952.10 : x
  2. Step 2: Convert to fraction form
    2,706.63/4,060.34 = 952.10/x
  3. Step 3: Cross multiply
    2,706.63x = 4,060.34 × 952.10
  4. Step 4: Simplify right side
    2,706.63x = 3,865,849.71
  5. Step 5: Solve for x
    x = 3,865,849.71/2,706.63
  6. Step 6: Final answer
    x = 1,428.29

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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.