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Finding the Fourth Proportional to 2,706.54, 4,062.12 and 1,064.24

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Solution

The fourth proportional to 2,706.54, 4,062.12 and 1,064.24 is: 1,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.54 : 4,062.12 = 1,064.24 : x
  2. Step 2: Convert to fraction form
    2,706.54/4,062.12 = 1,064.24/x
  3. Step 3: Cross multiply
    2,706.54x = 4,062.12 × 1,064.24
  4. Step 4: Simplify right side
    2,706.54x = 4,323,070.59
  5. Step 5: Solve for x
    x = 4,323,070.59/2,706.54
  6. Step 6: Final answer
    x = 1,597.27

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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.