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Finding the Fourth Proportional to 2,352.56, 3,526.36 and 891.08

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Solution

The fourth proportional to 2,352.56, 3,526.36 and 891.08 is: 1,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.56 : 3,526.36 = 891.08 : x
  2. Step 2: Convert to fraction form
    2,352.56/3,526.36 = 891.08/x
  3. Step 3: Cross multiply
    2,352.56x = 3,526.36 × 891.08
  4. Step 4: Simplify right side
    2,352.56x = 3,142,268.87
  5. Step 5: Solve for x
    x = 3,142,268.87/2,352.56
  6. Step 6: Final answer
    x = 1,335.68

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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.