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Finding the Fourth Proportional to 2,255.58, 3,381.29 and 1,005.53

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Solution

The fourth proportional to 2,255.58, 3,381.29 and 1,005.53 is: 1,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.58 : 3,381.29 = 1,005.53 : x
  2. Step 2: Convert to fraction form
    2,255.58/3,381.29 = 1,005.53/x
  3. Step 3: Cross multiply
    2,255.58x = 3,381.29 × 1,005.53
  4. Step 4: Simplify right side
    2,255.58x = 3,399,966.60
  5. Step 5: Solve for x
    x = 3,399,966.60/2,255.58
  6. Step 6: Final answer
    x = 1,507.36

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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.