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Finding the Fourth Proportional to 2,363.70, 3,545.55 and 632.32

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Solution

The fourth proportional to 2,363.70, 3,545.55 and 632.32 is: 948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.70 : 3,545.55 = 632.32 : x
  2. Step 2: Convert to fraction form
    2,363.70/3,545.55 = 632.32/x
  3. Step 3: Cross multiply
    2,363.70x = 3,545.55 × 632.32
  4. Step 4: Simplify right side
    2,363.70x = 2,241,922.18
  5. Step 5: Solve for x
    x = 2,241,922.18/2,363.70
  6. Step 6: Final answer
    x = 948.48

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1.5x scale

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.