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Finding the Fourth Proportional to 4,582.07, 6,873.10 and 1,660.37

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Solution

The fourth proportional to 4,582.07, 6,873.10 and 1,660.37 is: 2,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.07 : 6,873.10 = 1,660.37 : x
  2. Step 2: Convert to fraction form
    4,582.07/6,873.10 = 1,660.37/x
  3. Step 3: Cross multiply
    4,582.07x = 6,873.10 × 1,660.37
  4. Step 4: Simplify right side
    4,582.07x = 11,411,846.38
  5. Step 5: Solve for x
    x = 11,411,846.38/4,582.07
  6. Step 6: Final answer
    x = 2,490.55

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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.