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Finding the Fourth Proportional to 2,514.61, 3,770.43 and 870.31

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Solution

The fourth proportional to 2,514.61, 3,770.43 and 870.31 is: 1,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.61 : 3,770.43 = 870.31 : x
  2. Step 2: Convert to fraction form
    2,514.61/3,770.43 = 870.31/x
  3. Step 3: Cross multiply
    2,514.61x = 3,770.43 × 870.31
  4. Step 4: Simplify right side
    2,514.61x = 3,281,442.93
  5. Step 5: Solve for x
    x = 3,281,442.93/2,514.61
  6. Step 6: Final answer
    x = 1,304.95

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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.