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Finding the Fourth Proportional to 4,582.68, 6,874.48 and 1,660.32

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Solution

The fourth proportional to 4,582.68, 6,874.48 and 1,660.32 is: 2,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.68 : 6,874.48 = 1,660.32 : x
  2. Step 2: Convert to fraction form
    4,582.68/6,874.48 = 1,660.32/x
  3. Step 3: Cross multiply
    4,582.68x = 6,874.48 × 1,660.32
  4. Step 4: Simplify right side
    4,582.68x = 11,413,836.63
  5. Step 5: Solve for x
    x = 11,413,836.63/4,582.68
  6. Step 6: Final answer
    x = 2,490.65

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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.