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Finding the Fourth Proportional to 2,034.54, 2,806.16 and 1,405.26

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Solution

The fourth proportional to 2,034.54, 2,806.16 and 1,405.26 is: 1,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.54 : 2,806.16 = 1,405.26 : x
  2. Step 2: Convert to fraction form
    2,034.54/2,806.16 = 1,405.26/x
  3. Step 3: Cross multiply
    2,034.54x = 2,806.16 × 1,405.26
  4. Step 4: Simplify right side
    2,034.54x = 3,943,377.38
  5. Step 5: Solve for x
    x = 3,943,377.38/2,034.54
  6. Step 6: Final answer
    x = 1,938.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.