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Finding the Fourth Proportional to 1,355.08, 2,032.36 and 963.84

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Solution

The fourth proportional to 1,355.08, 2,032.36 and 963.84 is: 1,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.08 : 2,032.36 = 963.84 : x
  2. Step 2: Convert to fraction form
    1,355.08/2,032.36 = 963.84/x
  3. Step 3: Cross multiply
    1,355.08x = 2,032.36 × 963.84
  4. Step 4: Simplify right side
    1,355.08x = 1,958,869.86
  5. Step 5: Solve for x
    x = 1,958,869.86/1,355.08
  6. Step 6: Final answer
    x = 1,445.58

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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.