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Finding the Fourth Proportional to 2,376.80, 3,565.37 and 645.38

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Solution

The fourth proportional to 2,376.80, 3,565.37 and 645.38 is: 968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.80 : 3,565.37 = 645.38 : x
  2. Step 2: Convert to fraction form
    2,376.80/3,565.37 = 645.38/x
  3. Step 3: Cross multiply
    2,376.80x = 3,565.37 × 645.38
  4. Step 4: Simplify right side
    2,376.80x = 2,301,002.28
  5. Step 5: Solve for x
    x = 2,301,002.28/2,376.80
  6. Step 6: Final answer
    x = 968.11

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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.