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Finding the Fourth Proportional to 2,377.06, 3,281.65 and 1,747.06

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Solution

The fourth proportional to 2,377.06, 3,281.65 and 1,747.06 is: 2,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.06 : 3,281.65 = 1,747.06 : x
  2. Step 2: Convert to fraction form
    2,377.06/3,281.65 = 1,747.06/x
  3. Step 3: Cross multiply
    2,377.06x = 3,281.65 × 1,747.06
  4. Step 4: Simplify right side
    2,377.06x = 5,733,239.45
  5. Step 5: Solve for x
    x = 5,733,239.45/2,377.06
  6. Step 6: Final answer
    x = 2,411.90

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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.