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Finding the Fourth Proportional to 2,602.08, 3,902.52 and 752.78

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Solution

The fourth proportional to 2,602.08, 3,902.52 and 752.78 is: 1,129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.08 : 3,902.52 = 752.78 : x
  2. Step 2: Convert to fraction form
    2,602.08/3,902.52 = 752.78/x
  3. Step 3: Cross multiply
    2,602.08x = 3,902.52 × 752.78
  4. Step 4: Simplify right side
    2,602.08x = 2,937,739.01
  5. Step 5: Solve for x
    x = 2,937,739.01/2,602.08
  6. Step 6: Final answer
    x = 1,129.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.