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Finding the Fourth Proportional to 2,502.40, 3,750.60 and 1,112.80

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Solution

The fourth proportional to 2,502.40, 3,750.60 and 1,112.80 is: 1,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.40 : 3,750.60 = 1,112.80 : x
  2. Step 2: Convert to fraction form
    2,502.40/3,750.60 = 1,112.80/x
  3. Step 3: Cross multiply
    2,502.40x = 3,750.60 × 1,112.80
  4. Step 4: Simplify right side
    2,502.40x = 4,173,667.68
  5. Step 5: Solve for x
    x = 4,173,667.68/2,502.40
  6. Step 6: Final answer
    x = 1,667.87

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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.