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Finding the Fourth Proportional to 2,145.74, 2,962.19 and 2,031.27

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Solution

The fourth proportional to 2,145.74, 2,962.19 and 2,031.27 is: 2,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.74 : 2,962.19 = 2,031.27 : x
  2. Step 2: Convert to fraction form
    2,145.74/2,962.19 = 2,031.27/x
  3. Step 3: Cross multiply
    2,145.74x = 2,962.19 × 2,031.27
  4. Step 4: Simplify right side
    2,145.74x = 6,016,997.52
  5. Step 5: Solve for x
    x = 6,016,997.52/2,145.74
  6. Step 6: Final answer
    x = 2,804.17

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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.