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Finding the Fourth Proportional to 1,363.60, 1,871.30 and 1,277.20

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Solution

The fourth proportional to 1,363.60, 1,871.30 and 1,277.20 is: 1,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.60 : 1,871.30 = 1,277.20 : x
  2. Step 2: Convert to fraction form
    1,363.60/1,871.30 = 1,277.20/x
  3. Step 3: Cross multiply
    1,363.60x = 1,871.30 × 1,277.20
  4. Step 4: Simplify right side
    1,363.60x = 2,390,024.36
  5. Step 5: Solve for x
    x = 2,390,024.36/1,363.60
  6. Step 6: Final answer
    x = 1,752.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.