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Finding the Fourth Proportional to 2,938.65, 4,407.89 and 990.69

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Solution

The fourth proportional to 2,938.65, 4,407.89 and 990.69 is: 1,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.65 : 4,407.89 = 990.69 : x
  2. Step 2: Convert to fraction form
    2,938.65/4,407.89 = 990.69/x
  3. Step 3: Cross multiply
    2,938.65x = 4,407.89 × 990.69
  4. Step 4: Simplify right side
    2,938.65x = 4,366,847.59
  5. Step 5: Solve for x
    x = 4,366,847.59/2,938.65
  6. Step 6: Final answer
    x = 1,486.00

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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.