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Finding the Fourth Proportional to 1,697.25, 2,346.13 and 1,415.85

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Solution

The fourth proportional to 1,697.25, 2,346.13 and 1,415.85 is: 1,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.25 : 2,346.13 = 1,415.85 : x
  2. Step 2: Convert to fraction form
    1,697.25/2,346.13 = 1,415.85/x
  3. Step 3: Cross multiply
    1,697.25x = 2,346.13 × 1,415.85
  4. Step 4: Simplify right side
    1,697.25x = 3,321,752.68
  5. Step 5: Solve for x
    x = 3,321,752.68/1,697.25
  6. Step 6: Final answer
    x = 1,957.14

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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.