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Finding the Fourth Proportional to 2,312.86, 3,469.38 and 1,014.34

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Solution

The fourth proportional to 2,312.86, 3,469.38 and 1,014.34 is: 1,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.86 : 3,469.38 = 1,014.34 : x
  2. Step 2: Convert to fraction form
    2,312.86/3,469.38 = 1,014.34/x
  3. Step 3: Cross multiply
    2,312.86x = 3,469.38 × 1,014.34
  4. Step 4: Simplify right side
    2,312.86x = 3,519,130.91
  5. Step 5: Solve for x
    x = 3,519,130.91/2,312.86
  6. Step 6: Final answer
    x = 1,521.55

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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.