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Finding the Fourth Proportional to 2,706.38, 4,060.14 and 858.02

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Solution

The fourth proportional to 2,706.38, 4,060.14 and 858.02 is: 1,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.38 : 4,060.14 = 858.02 : x
  2. Step 2: Convert to fraction form
    2,706.38/4,060.14 = 858.02/x
  3. Step 3: Cross multiply
    2,706.38x = 4,060.14 × 858.02
  4. Step 4: Simplify right side
    2,706.38x = 3,483,681.32
  5. Step 5: Solve for x
    x = 3,483,681.32/2,706.38
  6. Step 6: Final answer
    x = 1,287.21

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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.