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Finding the Fourth Proportional to 2,503.47, 3,759.54 and 1,535.25

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Solution

The fourth proportional to 2,503.47, 3,759.54 and 1,535.25 is: 2,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.47 : 3,759.54 = 1,535.25 : x
  2. Step 2: Convert to fraction form
    2,503.47/3,759.54 = 1,535.25/x
  3. Step 3: Cross multiply
    2,503.47x = 3,759.54 × 1,535.25
  4. Step 4: Simplify right side
    2,503.47x = 5,771,833.79
  5. Step 5: Solve for x
    x = 5,771,833.79/2,503.47
  6. Step 6: Final answer
    x = 2,305.53

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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.