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Finding the Fourth Proportional to 2,005.47, 3,006.18 and 963.95

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Solution

The fourth proportional to 2,005.47, 3,006.18 and 963.95 is: 1,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.47 : 3,006.18 = 963.95 : x
  2. Step 2: Convert to fraction form
    2,005.47/3,006.18 = 963.95/x
  3. Step 3: Cross multiply
    2,005.47x = 3,006.18 × 963.95
  4. Step 4: Simplify right side
    2,005.47x = 2,897,792.18
  5. Step 5: Solve for x
    x = 2,897,792.18/2,005.47
  6. Step 6: Final answer
    x = 1,444.94

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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.