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Finding the Fourth Proportional to 2,376.83, 3,565.71 and 1,207.49

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Solution

The fourth proportional to 2,376.83, 3,565.71 and 1,207.49 is: 1,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.83 : 3,565.71 = 1,207.49 : x
  2. Step 2: Convert to fraction form
    2,376.83/3,565.71 = 1,207.49/x
  3. Step 3: Cross multiply
    2,376.83x = 3,565.71 × 1,207.49
  4. Step 4: Simplify right side
    2,376.83x = 4,305,541.34
  5. Step 5: Solve for x
    x = 4,305,541.34/2,376.83
  6. Step 6: Final answer
    x = 1,811.47

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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.