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Finding the Fourth Proportional to 1,877.58, 2,589.93 and 1,381.50

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Solution

The fourth proportional to 1,877.58, 2,589.93 and 1,381.50 is: 1,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.58 : 2,589.93 = 1,381.50 : x
  2. Step 2: Convert to fraction form
    1,877.58/2,589.93 = 1,381.50/x
  3. Step 3: Cross multiply
    1,877.58x = 2,589.93 × 1,381.50
  4. Step 4: Simplify right side
    1,877.58x = 3,577,988.30
  5. Step 5: Solve for x
    x = 3,577,988.30/1,877.58
  6. Step 6: Final answer
    x = 1,905.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.