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Finding the Fourth Proportional to 2,702.25, 3,729.11 and 1,460.25

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Solution

The fourth proportional to 2,702.25, 3,729.11 and 1,460.25 is: 2,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.25 : 3,729.11 = 1,460.25 : x
  2. Step 2: Convert to fraction form
    2,702.25/3,729.11 = 1,460.25/x
  3. Step 3: Cross multiply
    2,702.25x = 3,729.11 × 1,460.25
  4. Step 4: Simplify right side
    2,702.25x = 5,445,425.58
  5. Step 5: Solve for x
    x = 5,445,425.58/2,702.25
  6. Step 6: Final answer
    x = 2,015.15

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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.