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Finding the Fourth Proportional to 2,534.60, 3,803.60 and 891.15

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Solution

The fourth proportional to 2,534.60, 3,803.60 and 891.15 is: 1,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.60 : 3,803.60 = 891.15 : x
  2. Step 2: Convert to fraction form
    2,534.60/3,803.60 = 891.15/x
  3. Step 3: Cross multiply
    2,534.60x = 3,803.60 × 891.15
  4. Step 4: Simplify right side
    2,534.60x = 3,389,573.68
  5. Step 5: Solve for x
    x = 3,389,573.68/2,534.60
  6. Step 6: Final answer
    x = 1,337.32

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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.