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Finding the Fourth Proportional to 2,710.59, 4,066.08 and 861.63

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Solution

The fourth proportional to 2,710.59, 4,066.08 and 861.63 is: 1,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.59 : 4,066.08 = 861.63 : x
  2. Step 2: Convert to fraction form
    2,710.59/4,066.08 = 861.63/x
  3. Step 3: Cross multiply
    2,710.59x = 4,066.08 × 861.63
  4. Step 4: Simplify right side
    2,710.59x = 3,503,456.51
  5. Step 5: Solve for x
    x = 3,503,456.51/2,710.59
  6. Step 6: Final answer
    x = 1,292.51

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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.