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Finding the Fourth Proportional to 2,913.54, 4,370.37 and 965.76

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Solution

The fourth proportional to 2,913.54, 4,370.37 and 965.76 is: 1,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.54 : 4,370.37 = 965.76 : x
  2. Step 2: Convert to fraction form
    2,913.54/4,370.37 = 965.76/x
  3. Step 3: Cross multiply
    2,913.54x = 4,370.37 × 965.76
  4. Step 4: Simplify right side
    2,913.54x = 4,220,728.53
  5. Step 5: Solve for x
    x = 4,220,728.53/2,913.54
  6. Step 6: Final answer
    x = 1,448.66

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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.