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Finding the Fourth Proportional to 2,182.10, 3,272.84 and 701.13

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Solution

The fourth proportional to 2,182.10, 3,272.84 and 701.13 is: 1,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.10 : 3,272.84 = 701.13 : x
  2. Step 2: Convert to fraction form
    2,182.10/3,272.84 = 701.13/x
  3. Step 3: Cross multiply
    2,182.10x = 3,272.84 × 701.13
  4. Step 4: Simplify right side
    2,182.10x = 2,294,689.24
  5. Step 5: Solve for x
    x = 2,294,689.24/2,182.10
  6. Step 6: Final answer
    x = 1,051.60

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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.