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Finding the Fourth Proportional to 2,363.42, 3,545.13 and 975.23

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Solution

The fourth proportional to 2,363.42, 3,545.13 and 975.23 is: 1,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.42 : 3,545.13 = 975.23 : x
  2. Step 2: Convert to fraction form
    2,363.42/3,545.13 = 975.23/x
  3. Step 3: Cross multiply
    2,363.42x = 3,545.13 × 975.23
  4. Step 4: Simplify right side
    2,363.42x = 3,457,324.27
  5. Step 5: Solve for x
    x = 3,457,324.27/2,363.42
  6. Step 6: Final answer
    x = 1,462.85

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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.