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Finding the Fourth Proportional to 2,909.53, 4,018.41 and 2,254.30

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Solution

The fourth proportional to 2,909.53, 4,018.41 and 2,254.30 is: 3,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.53 : 4,018.41 = 2,254.30 : x
  2. Step 2: Convert to fraction form
    2,909.53/4,018.41 = 2,254.30/x
  3. Step 3: Cross multiply
    2,909.53x = 4,018.41 × 2,254.30
  4. Step 4: Simplify right side
    2,909.53x = 9,058,701.66
  5. Step 5: Solve for x
    x = 9,058,701.66/2,909.53
  6. Step 6: Final answer
    x = 3,113.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.