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Finding the Fourth Proportional to 2,501.33, 3,752.36 and 834.89

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Solution

The fourth proportional to 2,501.33, 3,752.36 and 834.89 is: 1,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.33 : 3,752.36 = 834.89 : x
  2. Step 2: Convert to fraction form
    2,501.33/3,752.36 = 834.89/x
  3. Step 3: Cross multiply
    2,501.33x = 3,752.36 × 834.89
  4. Step 4: Simplify right side
    2,501.33x = 3,132,784.90
  5. Step 5: Solve for x
    x = 3,132,784.90/2,501.33
  6. Step 6: Final answer
    x = 1,252.45

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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.