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Finding the Fourth Proportional to 2,924.92, 4,386.30 and 2,465.92

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Solution

The fourth proportional to 2,924.92, 4,386.30 and 2,465.92 is: 3,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.92 : 4,386.30 = 2,465.92 : x
  2. Step 2: Convert to fraction form
    2,924.92/4,386.30 = 2,465.92/x
  3. Step 3: Cross multiply
    2,924.92x = 4,386.30 × 2,465.92
  4. Step 4: Simplify right side
    2,924.92x = 10,816,264.90
  5. Step 5: Solve for x
    x = 10,816,264.90/2,924.92
  6. Step 6: Final answer
    x = 3,697.97

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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.