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Finding the Fourth Proportional to 2,034.01, 2,806.95 and 1,102.51

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Solution

The fourth proportional to 2,034.01, 2,806.95 and 1,102.51 is: 1,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.01 : 2,806.95 = 1,102.51 : x
  2. Step 2: Convert to fraction form
    2,034.01/2,806.95 = 1,102.51/x
  3. Step 3: Cross multiply
    2,034.01x = 2,806.95 × 1,102.51
  4. Step 4: Simplify right side
    2,034.01x = 3,094,690.44
  5. Step 5: Solve for x
    x = 3,094,690.44/2,034.01
  6. Step 6: Final answer
    x = 1,521.47

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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.