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Finding the Fourth Proportional to 1,286.24, 1,925.04 and 973.04

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Solution

The fourth proportional to 1,286.24, 1,925.04 and 973.04 is: 1,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.24 : 1,925.04 = 973.04 : x
  2. Step 2: Convert to fraction form
    1,286.24/1,925.04 = 973.04/x
  3. Step 3: Cross multiply
    1,286.24x = 1,925.04 × 973.04
  4. Step 4: Simplify right side
    1,286.24x = 1,873,140.92
  5. Step 5: Solve for x
    x = 1,873,140.92/1,286.24
  6. Step 6: Final answer
    x = 1,456.29

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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.