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Finding the Fourth Proportional to 2,275.56, 3,410.30 and 958.10

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Solution

The fourth proportional to 2,275.56, 3,410.30 and 958.10 is: 1,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.56 : 3,410.30 = 958.10 : x
  2. Step 2: Convert to fraction form
    2,275.56/3,410.30 = 958.10/x
  3. Step 3: Cross multiply
    2,275.56x = 3,410.30 × 958.10
  4. Step 4: Simplify right side
    2,275.56x = 3,267,393.77
  5. Step 5: Solve for x
    x = 3,267,393.77/2,275.56
  6. Step 6: Final answer
    x = 1,435.86

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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.