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Finding the Fourth Proportional to 2,001.66, 2,758.64 and 1,580.73

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Solution

The fourth proportional to 2,001.66, 2,758.64 and 1,580.73 is: 2,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.66 : 2,758.64 = 1,580.73 : x
  2. Step 2: Convert to fraction form
    2,001.66/2,758.64 = 1,580.73/x
  3. Step 3: Cross multiply
    2,001.66x = 2,758.64 × 1,580.73
  4. Step 4: Simplify right side
    2,001.66x = 4,360,657.10
  5. Step 5: Solve for x
    x = 4,360,657.10/2,001.66
  6. Step 6: Final answer
    x = 2,178.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.