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Finding the Fourth Proportional to 1,695.25, 2,540.65 and 720.15

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Solution

The fourth proportional to 1,695.25, 2,540.65 and 720.15 is: 1,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.25 : 2,540.65 = 720.15 : x
  2. Step 2: Convert to fraction form
    1,695.25/2,540.65 = 720.15/x
  3. Step 3: Cross multiply
    1,695.25x = 2,540.65 × 720.15
  4. Step 4: Simplify right side
    1,695.25x = 1,829,649.10
  5. Step 5: Solve for x
    x = 1,829,649.10/1,695.25
  6. Step 6: Final answer
    x = 1,079.28

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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.