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Finding the Fourth Proportional to 2,917.70, 4,031.14 and 2,037.42

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Solution

The fourth proportional to 2,917.70, 4,031.14 and 2,037.42 is: 2,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.70 : 4,031.14 = 2,037.42 : x
  2. Step 2: Convert to fraction form
    2,917.70/4,031.14 = 2,037.42/x
  3. Step 3: Cross multiply
    2,917.70x = 4,031.14 × 2,037.42
  4. Step 4: Simplify right side
    2,917.70x = 8,213,125.26
  5. Step 5: Solve for x
    x = 8,213,125.26/2,917.70
  6. Step 6: Final answer
    x = 2,814.93

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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.