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Finding the Fourth Proportional to 2,001.60, 3,001.86 and 1,356.30

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Solution

The fourth proportional to 2,001.60, 3,001.86 and 1,356.30 is: 2,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.60 : 3,001.86 = 1,356.30 : x
  2. Step 2: Convert to fraction form
    2,001.60/3,001.86 = 1,356.30/x
  3. Step 3: Cross multiply
    2,001.60x = 3,001.86 × 1,356.30
  4. Step 4: Simplify right side
    2,001.60x = 4,071,422.72
  5. Step 5: Solve for x
    x = 4,071,422.72/2,001.60
  6. Step 6: Final answer
    x = 2,034.08

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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.