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Finding the Fourth Proportional to 2,938.41, 4,407.65 and 990.61

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Solution

The fourth proportional to 2,938.41, 4,407.65 and 990.61 is: 1,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.41 : 4,407.65 = 990.61 : x
  2. Step 2: Convert to fraction form
    2,938.41/4,407.65 = 990.61/x
  3. Step 3: Cross multiply
    2,938.41x = 4,407.65 × 990.61
  4. Step 4: Simplify right side
    2,938.41x = 4,366,262.17
  5. Step 5: Solve for x
    x = 4,366,262.17/2,938.41
  6. Step 6: Final answer
    x = 1,485.93

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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.