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Finding the Fourth Proportional to 2,350.71, 3,525.93 and 963.72

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Solution

The fourth proportional to 2,350.71, 3,525.93 and 963.72 is: 1,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.71 : 3,525.93 = 963.72 : x
  2. Step 2: Convert to fraction form
    2,350.71/3,525.93 = 963.72/x
  3. Step 3: Cross multiply
    2,350.71x = 3,525.93 × 963.72
  4. Step 4: Simplify right side
    2,350.71x = 3,398,009.26
  5. Step 5: Solve for x
    x = 3,398,009.26/2,350.71
  6. Step 6: Final answer
    x = 1,445.52

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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.