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Finding the Fourth Proportional to 2,352.53, 3,248.55 and 1,469.84

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Solution

The fourth proportional to 2,352.53, 3,248.55 and 1,469.84 is: 2,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.53 : 3,248.55 = 1,469.84 : x
  2. Step 2: Convert to fraction form
    2,352.53/3,248.55 = 1,469.84/x
  3. Step 3: Cross multiply
    2,352.53x = 3,248.55 × 1,469.84
  4. Step 4: Simplify right side
    2,352.53x = 4,774,832.49
  5. Step 5: Solve for x
    x = 4,774,832.49/2,352.53
  6. Step 6: Final answer
    x = 2,029.66

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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.