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Finding the Fourth Proportional to 2,363.79, 3,545.54 and 1,047.16

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Solution

The fourth proportional to 2,363.79, 3,545.54 and 1,047.16 is: 1,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.79 : 3,545.54 = 1,047.16 : x
  2. Step 2: Convert to fraction form
    2,363.79/3,545.54 = 1,047.16/x
  3. Step 3: Cross multiply
    2,363.79x = 3,545.54 × 1,047.16
  4. Step 4: Simplify right side
    2,363.79x = 3,712,747.67
  5. Step 5: Solve for x
    x = 3,712,747.67/2,363.79
  6. Step 6: Final answer
    x = 1,570.68

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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.