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Finding the Fourth Proportional to 2,363.65, 3,543.72 and 1,631.14

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Solution

The fourth proportional to 2,363.65, 3,543.72 and 1,631.14 is: 2,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.65 : 3,543.72 = 1,631.14 : x
  2. Step 2: Convert to fraction form
    2,363.65/3,543.72 = 1,631.14/x
  3. Step 3: Cross multiply
    2,363.65x = 3,543.72 × 1,631.14
  4. Step 4: Simplify right side
    2,363.65x = 5,780,303.44
  5. Step 5: Solve for x
    x = 5,780,303.44/2,363.65
  6. Step 6: Final answer
    x = 2,445.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.