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Finding the Fourth Proportional to 4,582.53, 6,873.84 and 1,660.98

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Solution

The fourth proportional to 4,582.53, 6,873.84 and 1,660.98 is: 2,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.53 : 6,873.84 = 1,660.98 : x
  2. Step 2: Convert to fraction form
    4,582.53/6,873.84 = 1,660.98/x
  3. Step 3: Cross multiply
    4,582.53x = 6,873.84 × 1,660.98
  4. Step 4: Simplify right side
    4,582.53x = 11,417,310.76
  5. Step 5: Solve for x
    x = 11,417,310.76/4,582.53
  6. Step 6: Final answer
    x = 2,491.49

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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.