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Finding the Fourth Proportional to 3,152.88, 4,351 and 1,755.60

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Solution

The fourth proportional to 3,152.88, 4,351 and 1,755.60 is: 2,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.88 : 4,351 = 1,755.60 : x
  2. Step 2: Convert to fraction form
    3,152.88/4,351 = 1,755.60/x
  3. Step 3: Cross multiply
    3,152.88x = 4,351 × 1,755.60
  4. Step 4: Simplify right side
    3,152.88x = 7,638,615.60
  5. Step 5: Solve for x
    x = 7,638,615.60/3,152.88
  6. Step 6: Final answer
    x = 2,422.74

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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.