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Finding the Fourth Proportional to 1,899.71, 2,621.18 and 1,102.58

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Solution

The fourth proportional to 1,899.71, 2,621.18 and 1,102.58 is: 1,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.71 : 2,621.18 = 1,102.58 : x
  2. Step 2: Convert to fraction form
    1,899.71/2,621.18 = 1,102.58/x
  3. Step 3: Cross multiply
    1,899.71x = 2,621.18 × 1,102.58
  4. Step 4: Simplify right side
    1,899.71x = 2,890,060.64
  5. Step 5: Solve for x
    x = 2,890,060.64/1,899.71
  6. Step 6: Final answer
    x = 1,521.32

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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.