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Finding the Fourth Proportional to 2,363.46, 3,545.16 and 632.10

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Solution

The fourth proportional to 2,363.46, 3,545.16 and 632.10 is: 948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.46 : 3,545.16 = 632.10 : x
  2. Step 2: Convert to fraction form
    2,363.46/3,545.16 = 632.10/x
  3. Step 3: Cross multiply
    2,363.46x = 3,545.16 × 632.10
  4. Step 4: Simplify right side
    2,363.46x = 2,240,895.64
  5. Step 5: Solve for x
    x = 2,240,895.64/2,363.46
  6. Step 6: Final answer
    x = 948.14

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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.