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Finding the Fourth Proportional to 2,862.94, 4,294.10 and 1,397.65

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Solution

The fourth proportional to 2,862.94, 4,294.10 and 1,397.65 is: 2,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.94 : 4,294.10 = 1,397.65 : x
  2. Step 2: Convert to fraction form
    2,862.94/4,294.10 = 1,397.65/x
  3. Step 3: Cross multiply
    2,862.94x = 4,294.10 × 1,397.65
  4. Step 4: Simplify right side
    2,862.94x = 6,001,620.41
  5. Step 5: Solve for x
    x = 6,001,620.41/2,862.94
  6. Step 6: Final answer
    x = 2,096.32

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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.