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Finding the Fourth Proportional to 6,590.45, 9,885.68 and 1,660.48

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Solution

The fourth proportional to 6,590.45, 9,885.68 and 1,660.48 is: 2,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.45 : 9,885.68 = 1,660.48 : x
  2. Step 2: Convert to fraction form
    6,590.45/9,885.68 = 1,660.48/x
  3. Step 3: Cross multiply
    6,590.45x = 9,885.68 × 1,660.48
  4. Step 4: Simplify right side
    6,590.45x = 16,414,953.36
  5. Step 5: Solve for x
    x = 16,414,953.36/6,590.45
  6. Step 6: Final answer
    x = 2,490.72

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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.