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Finding the Fourth Proportional to 2,376.91, 3,566.40 and 917.09

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Solution

The fourth proportional to 2,376.91, 3,566.40 and 917.09 is: 1,376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.91 : 3,566.40 = 917.09 : x
  2. Step 2: Convert to fraction form
    2,376.91/3,566.40 = 917.09/x
  3. Step 3: Cross multiply
    2,376.91x = 3,566.40 × 917.09
  4. Step 4: Simplify right side
    2,376.91x = 3,270,711.91
  5. Step 5: Solve for x
    x = 3,270,711.91/2,376.91
  6. Step 6: Final answer
    x = 1,376.03

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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.