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Finding the Fourth Proportional to 2,073.40, 2,862.72 and 1,410.80

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Solution

The fourth proportional to 2,073.40, 2,862.72 and 1,410.80 is: 1,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.40 : 2,862.72 = 1,410.80 : x
  2. Step 2: Convert to fraction form
    2,073.40/2,862.72 = 1,410.80/x
  3. Step 3: Cross multiply
    2,073.40x = 2,862.72 × 1,410.80
  4. Step 4: Simplify right side
    2,073.40x = 4,038,725.38
  5. Step 5: Solve for x
    x = 4,038,725.38/2,073.40
  6. Step 6: Final answer
    x = 1,947.88

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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.