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Finding the Fourth Proportional to 2,182.72, 3,011.48 and 1,354.72

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Solution

The fourth proportional to 2,182.72, 3,011.48 and 1,354.72 is: 1,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.72 : 3,011.48 = 1,354.72 : x
  2. Step 2: Convert to fraction form
    2,182.72/3,011.48 = 1,354.72/x
  3. Step 3: Cross multiply
    2,182.72x = 3,011.48 × 1,354.72
  4. Step 4: Simplify right side
    2,182.72x = 4,079,712.19
  5. Step 5: Solve for x
    x = 4,079,712.19/2,182.72
  6. Step 6: Final answer
    x = 1,869.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.