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Finding the Fourth Proportional to 2,864.04, 4,294.98 and 1,219.74

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Solution

The fourth proportional to 2,864.04, 4,294.98 and 1,219.74 is: 1,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.04 : 4,294.98 = 1,219.74 : x
  2. Step 2: Convert to fraction form
    2,864.04/4,294.98 = 1,219.74/x
  3. Step 3: Cross multiply
    2,864.04x = 4,294.98 × 1,219.74
  4. Step 4: Simplify right side
    2,864.04x = 5,238,758.91
  5. Step 5: Solve for x
    x = 5,238,758.91/2,864.04
  6. Step 6: Final answer
    x = 1,829.15

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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.