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Finding the Fourth Proportional to 2,748.52, 3,792.92 and 1,506.52

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Solution

The fourth proportional to 2,748.52, 3,792.92 and 1,506.52 is: 2,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.52 : 3,792.92 = 1,506.52 : x
  2. Step 2: Convert to fraction form
    2,748.52/3,792.92 = 1,506.52/x
  3. Step 3: Cross multiply
    2,748.52x = 3,792.92 × 1,506.52
  4. Step 4: Simplify right side
    2,748.52x = 5,714,109.84
  5. Step 5: Solve for x
    x = 5,714,109.84/2,748.52
  6. Step 6: Final answer
    x = 2,078.98

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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.