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Finding the Fourth Proportional to 2,377.70, 3,567.57 and 917.88

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Solution

The fourth proportional to 2,377.70, 3,567.57 and 917.88 is: 1,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.70 : 3,567.57 = 917.88 : x
  2. Step 2: Convert to fraction form
    2,377.70/3,567.57 = 917.88/x
  3. Step 3: Cross multiply
    2,377.70x = 3,567.57 × 917.88
  4. Step 4: Simplify right side
    2,377.70x = 3,274,583.31
  5. Step 5: Solve for x
    x = 3,274,583.31/2,377.70
  6. Step 6: Final answer
    x = 1,377.21

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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.