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Finding the Fourth Proportional to 2,177.82, 3,264.30 and 790.02

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Solution

The fourth proportional to 2,177.82, 3,264.30 and 790.02 is: 1,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.82 : 3,264.30 = 790.02 : x
  2. Step 2: Convert to fraction form
    2,177.82/3,264.30 = 790.02/x
  3. Step 3: Cross multiply
    2,177.82x = 3,264.30 × 790.02
  4. Step 4: Simplify right side
    2,177.82x = 2,578,862.29
  5. Step 5: Solve for x
    x = 2,578,862.29/2,177.82
  6. Step 6: Final answer
    x = 1,184.15

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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.