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Finding the Fourth Proportional to 2,376.35, 3,565.13 and 1,918.29

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Solution

The fourth proportional to 2,376.35, 3,565.13 and 1,918.29 is: 2,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.35 : 3,565.13 = 1,918.29 : x
  2. Step 2: Convert to fraction form
    2,376.35/3,565.13 = 1,918.29/x
  3. Step 3: Cross multiply
    2,376.35x = 3,565.13 × 1,918.29
  4. Step 4: Simplify right side
    2,376.35x = 6,838,943.64
  5. Step 5: Solve for x
    x = 6,838,943.64/2,376.35
  6. Step 6: Final answer
    x = 2,877.93

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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.