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Finding the Fourth Proportional to 2,159.62, 3,240.15 and 860.74

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Solution

The fourth proportional to 2,159.62, 3,240.15 and 860.74 is: 1,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.62 : 3,240.15 = 860.74 : x
  2. Step 2: Convert to fraction form
    2,159.62/3,240.15 = 860.74/x
  3. Step 3: Cross multiply
    2,159.62x = 3,240.15 × 860.74
  4. Step 4: Simplify right side
    2,159.62x = 2,788,926.71
  5. Step 5: Solve for x
    x = 2,788,926.71/2,159.62
  6. Step 6: Final answer
    x = 1,291.40

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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.