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Finding the Fourth Proportional to 2,177.24, 3,264.84 and 790.52

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Solution

The fourth proportional to 2,177.24, 3,264.84 and 790.52 is: 1,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.24 : 3,264.84 = 790.52 : x
  2. Step 2: Convert to fraction form
    2,177.24/3,264.84 = 790.52/x
  3. Step 3: Cross multiply
    2,177.24x = 3,264.84 × 790.52
  4. Step 4: Simplify right side
    2,177.24x = 2,580,921.32
  5. Step 5: Solve for x
    x = 2,580,921.32/2,177.24
  6. Step 6: Final answer
    x = 1,185.41

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