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Finding the Fourth Proportional to 2,748.61, 3,792.20 and 1,754.21

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Solution

The fourth proportional to 2,748.61, 3,792.20 and 1,754.21 is: 2,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.61 : 3,792.20 = 1,754.21 : x
  2. Step 2: Convert to fraction form
    2,748.61/3,792.20 = 1,754.21/x
  3. Step 3: Cross multiply
    2,748.61x = 3,792.20 × 1,754.21
  4. Step 4: Simplify right side
    2,748.61x = 6,652,319.15
  5. Step 5: Solve for x
    x = 6,652,319.15/2,748.61
  6. Step 6: Final answer
    x = 2,420.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.