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Finding the Fourth Proportional to 2,387.84, 3,577.92 and 1,877.12

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Solution

The fourth proportional to 2,387.84, 3,577.92 and 1,877.12 is: 2,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.84 : 3,577.92 = 1,877.12 : x
  2. Step 2: Convert to fraction form
    2,387.84/3,577.92 = 1,877.12/x
  3. Step 3: Cross multiply
    2,387.84x = 3,577.92 × 1,877.12
  4. Step 4: Simplify right side
    2,387.84x = 6,716,185.19
  5. Step 5: Solve for x
    x = 6,716,185.19/2,387.84
  6. Step 6: Final answer
    x = 2,812.66

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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.