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Finding the Fourth Proportional to 2,363.94, 3,545.91 and 883.49

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Solution

The fourth proportional to 2,363.94, 3,545.91 and 883.49 is: 1,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.94 : 3,545.91 = 883.49 : x
  2. Step 2: Convert to fraction form
    2,363.94/3,545.91 = 883.49/x
  3. Step 3: Cross multiply
    2,363.94x = 3,545.91 × 883.49
  4. Step 4: Simplify right side
    2,363.94x = 3,132,758.30
  5. Step 5: Solve for x
    x = 3,132,758.30/2,363.94
  6. Step 6: Final answer
    x = 1,325.23

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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.