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Finding the Fourth Proportional to 2,710.74, 4,066.54 and 861.32

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Solution

The fourth proportional to 2,710.74, 4,066.54 and 861.32 is: 1,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.74 : 4,066.54 = 861.32 : x
  2. Step 2: Convert to fraction form
    2,710.74/4,066.54 = 861.32/x
  3. Step 3: Cross multiply
    2,710.74x = 4,066.54 × 861.32
  4. Step 4: Simplify right side
    2,710.74x = 3,502,592.23
  5. Step 5: Solve for x
    x = 3,502,592.23/2,710.74
  6. Step 6: Final answer
    x = 1,292.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.