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Finding the Fourth Proportional to 1,877.68, 2,594.10 and 1,601.02

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Solution

The fourth proportional to 1,877.68, 2,594.10 and 1,601.02 is: 2,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.68 : 2,594.10 = 1,601.02 : x
  2. Step 2: Convert to fraction form
    1,877.68/2,594.10 = 1,601.02/x
  3. Step 3: Cross multiply
    1,877.68x = 2,594.10 × 1,601.02
  4. Step 4: Simplify right side
    1,877.68x = 4,153,205.98
  5. Step 5: Solve for x
    x = 4,153,205.98/1,877.68
  6. Step 6: Final answer
    x = 2,211.88

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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.