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Finding the Fourth Proportional to 1,871.18, 2,581.02 and 1,153.10

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Solution

The fourth proportional to 1,871.18, 2,581.02 and 1,153.10 is: 1,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.18 : 2,581.02 = 1,153.10 : x
  2. Step 2: Convert to fraction form
    1,871.18/2,581.02 = 1,153.10/x
  3. Step 3: Cross multiply
    1,871.18x = 2,581.02 × 1,153.10
  4. Step 4: Simplify right side
    1,871.18x = 2,976,174.16
  5. Step 5: Solve for x
    x = 2,976,174.16/1,871.18
  6. Step 6: Final answer
    x = 1,590.53

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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.