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Finding the Fourth Proportional to 2,864.02, 4,294.94 and 1,014.80

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Solution

The fourth proportional to 2,864.02, 4,294.94 and 1,014.80 is: 1,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.02 : 4,294.94 = 1,014.80 : x
  2. Step 2: Convert to fraction form
    2,864.02/4,294.94 = 1,014.80/x
  3. Step 3: Cross multiply
    2,864.02x = 4,294.94 × 1,014.80
  4. Step 4: Simplify right side
    2,864.02x = 4,358,505.11
  5. Step 5: Solve for x
    x = 4,358,505.11/2,864.02
  6. Step 6: Final answer
    x = 1,521.81

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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.