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Finding the Fourth Proportional to 2,102.44, 2,899.74 and 1,356.52

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Solution

The fourth proportional to 2,102.44, 2,899.74 and 1,356.52 is: 1,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.44 : 2,899.74 = 1,356.52 : x
  2. Step 2: Convert to fraction form
    2,102.44/2,899.74 = 1,356.52/x
  3. Step 3: Cross multiply
    2,102.44x = 2,899.74 × 1,356.52
  4. Step 4: Simplify right side
    2,102.44x = 3,933,555.30
  5. Step 5: Solve for x
    x = 3,933,555.30/2,102.44
  6. Step 6: Final answer
    x = 1,870.95

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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.