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Finding the Fourth Proportional to 1,587.60, 2,384.70 and 1,344.60

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Solution

The fourth proportional to 1,587.60, 2,384.70 and 1,344.60 is: 2,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.60 : 2,384.70 = 1,344.60 : x
  2. Step 2: Convert to fraction form
    1,587.60/2,384.70 = 1,344.60/x
  3. Step 3: Cross multiply
    1,587.60x = 2,384.70 × 1,344.60
  4. Step 4: Simplify right side
    1,587.60x = 3,206,467.62
  5. Step 5: Solve for x
    x = 3,206,467.62/1,587.60
  6. Step 6: Final answer
    x = 2,019.69

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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.