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Finding the Fourth Proportional to 2,589.88, 3,884.55 and 740.88

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Solution

The fourth proportional to 2,589.88, 3,884.55 and 740.88 is: 1,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.88 : 3,884.55 = 740.88 : x
  2. Step 2: Convert to fraction form
    2,589.88/3,884.55 = 740.88/x
  3. Step 3: Cross multiply
    2,589.88x = 3,884.55 × 740.88
  4. Step 4: Simplify right side
    2,589.88x = 2,877,985.40
  5. Step 5: Solve for x
    x = 2,877,985.40/2,589.88
  6. Step 6: Final answer
    x = 1,111.24

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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.