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Finding the Fourth Proportional to 3,133.61, 4,323.23 and 1,874.70

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Solution

The fourth proportional to 3,133.61, 4,323.23 and 1,874.70 is: 2,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.61 : 4,323.23 = 1,874.70 : x
  2. Step 2: Convert to fraction form
    3,133.61/4,323.23 = 1,874.70/x
  3. Step 3: Cross multiply
    3,133.61x = 4,323.23 × 1,874.70
  4. Step 4: Simplify right side
    3,133.61x = 8,104,753.16
  5. Step 5: Solve for x
    x = 8,104,753.16/3,133.61
  6. Step 6: Final answer
    x = 2,586.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.