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Finding the Fourth Proportional to 1,797.24, 2,695.05 and 974.28

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Solution

The fourth proportional to 1,797.24, 2,695.05 and 974.28 is: 1,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.24 : 2,695.05 = 974.28 : x
  2. Step 2: Convert to fraction form
    1,797.24/2,695.05 = 974.28/x
  3. Step 3: Cross multiply
    1,797.24x = 2,695.05 × 974.28
  4. Step 4: Simplify right side
    1,797.24x = 2,625,733.31
  5. Step 5: Solve for x
    x = 2,625,733.31/1,797.24
  6. Step 6: Final answer
    x = 1,460.98

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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.