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Finding the Fourth Proportional to 3,043.45, 4,565.63 and 962.76

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Solution

The fourth proportional to 3,043.45, 4,565.63 and 962.76 is: 1,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.45 : 4,565.63 = 962.76 : x
  2. Step 2: Convert to fraction form
    3,043.45/4,565.63 = 962.76/x
  3. Step 3: Cross multiply
    3,043.45x = 4,565.63 × 962.76
  4. Step 4: Simplify right side
    3,043.45x = 4,395,608.35
  5. Step 5: Solve for x
    x = 4,395,608.35/3,043.45
  6. Step 6: Final answer
    x = 1,444.29

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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.