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Finding the Fourth Proportional to 1,878.16, 2,591.98 and 1,132.08

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Solution

The fourth proportional to 1,878.16, 2,591.98 and 1,132.08 is: 1,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.16 : 2,591.98 = 1,132.08 : x
  2. Step 2: Convert to fraction form
    1,878.16/2,591.98 = 1,132.08/x
  3. Step 3: Cross multiply
    1,878.16x = 2,591.98 × 1,132.08
  4. Step 4: Simplify right side
    1,878.16x = 2,934,328.72
  5. Step 5: Solve for x
    x = 2,934,328.72/1,878.16
  6. Step 6: Final answer
    x = 1,562.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.