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Finding the Fourth Proportional to 2,429.92, 3,643.44 and 969.76

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Solution

The fourth proportional to 2,429.92, 3,643.44 and 969.76 is: 1,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.92 : 3,643.44 = 969.76 : x
  2. Step 2: Convert to fraction form
    2,429.92/3,643.44 = 969.76/x
  3. Step 3: Cross multiply
    2,429.92x = 3,643.44 × 969.76
  4. Step 4: Simplify right side
    2,429.92x = 3,533,262.37
  5. Step 5: Solve for x
    x = 3,533,262.37/2,429.92
  6. Step 6: Final answer
    x = 1,454.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.