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Finding the Fourth Proportional to 2,378.30, 3,567.75 and 917.87

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Solution

The fourth proportional to 2,378.30, 3,567.75 and 917.87 is: 1,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.30 : 3,567.75 = 917.87 : x
  2. Step 2: Convert to fraction form
    2,378.30/3,567.75 = 917.87/x
  3. Step 3: Cross multiply
    2,378.30x = 3,567.75 × 917.87
  4. Step 4: Simplify right side
    2,378.30x = 3,274,712.85
  5. Step 5: Solve for x
    x = 3,274,712.85/2,378.30
  6. Step 6: Final answer
    x = 1,376.92

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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.