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Finding the Fourth Proportional to 2,376.55, 3,565.37 and 1,144.99

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Solution

The fourth proportional to 2,376.55, 3,565.37 and 1,144.99 is: 1,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.55 : 3,565.37 = 1,144.99 : x
  2. Step 2: Convert to fraction form
    2,376.55/3,565.37 = 1,144.99/x
  3. Step 3: Cross multiply
    2,376.55x = 3,565.37 × 1,144.99
  4. Step 4: Simplify right side
    2,376.55x = 4,082,323.90
  5. Step 5: Solve for x
    x = 4,082,323.90/2,376.55
  6. Step 6: Final answer
    x = 1,717.75

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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.