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Finding the Fourth Proportional to 2,504.88, 3,753.68 and 1,775.88

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Solution

The fourth proportional to 2,504.88, 3,753.68 and 1,775.88 is: 2,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.88 : 3,753.68 = 1,775.88 : x
  2. Step 2: Convert to fraction form
    2,504.88/3,753.68 = 1,775.88/x
  3. Step 3: Cross multiply
    2,504.88x = 3,753.68 × 1,775.88
  4. Step 4: Simplify right side
    2,504.88x = 6,666,085.24
  5. Step 5: Solve for x
    x = 6,666,085.24/2,504.88
  6. Step 6: Final answer
    x = 2,661.24

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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.