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Finding the Fourth Proportional to 2,539.52, 3,503.76 and 1,655

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Solution

The fourth proportional to 2,539.52, 3,503.76 and 1,655 is: 2,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.52 : 3,503.76 = 1,655 : x
  2. Step 2: Convert to fraction form
    2,539.52/3,503.76 = 1,655/x
  3. Step 3: Cross multiply
    2,539.52x = 3,503.76 × 1,655
  4. Step 4: Simplify right side
    2,539.52x = 5,798,722.80
  5. Step 5: Solve for x
    x = 5,798,722.80/2,539.52
  6. Step 6: Final answer
    x = 2,283.39

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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.