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Finding the Fourth Proportional to 2,034.17, 2,807.11 and 1,335.50

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Solution

The fourth proportional to 2,034.17, 2,807.11 and 1,335.50 is: 1,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.17 : 2,807.11 = 1,335.50 : x
  2. Step 2: Convert to fraction form
    2,034.17/2,807.11 = 1,335.50/x
  3. Step 3: Cross multiply
    2,034.17x = 2,807.11 × 1,335.50
  4. Step 4: Simplify right side
    2,034.17x = 3,748,895.41
  5. Step 5: Solve for x
    x = 3,748,895.41/2,034.17
  6. Step 6: Final answer
    x = 1,842.96

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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.