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Finding the Fourth Proportional to 2,887.40, 4,323.72 and 1,587.44

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Solution

The fourth proportional to 2,887.40, 4,323.72 and 1,587.44 is: 2,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.40 : 4,323.72 = 1,587.44 : x
  2. Step 2: Convert to fraction form
    2,887.40/4,323.72 = 1,587.44/x
  3. Step 3: Cross multiply
    2,887.40x = 4,323.72 × 1,587.44
  4. Step 4: Simplify right side
    2,887.40x = 6,863,646.08
  5. Step 5: Solve for x
    x = 6,863,646.08/2,887.40
  6. Step 6: Final answer
    x = 2,377.10

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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.