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Finding the Fourth Proportional to 2,363.63, 3,545.64 and 632.25

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Solution

The fourth proportional to 2,363.63, 3,545.64 and 632.25 is: 948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.63 : 3,545.64 = 632.25 : x
  2. Step 2: Convert to fraction form
    2,363.63/3,545.64 = 632.25/x
  3. Step 3: Cross multiply
    2,363.63x = 3,545.64 × 632.25
  4. Step 4: Simplify right side
    2,363.63x = 2,241,730.89
  5. Step 5: Solve for x
    x = 2,241,730.89/2,363.63
  6. Step 6: Final answer
    x = 948.43

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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.