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Finding the Fourth Proportional to 2,530.78, 3,494.55 and 1,743.46

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Solution

The fourth proportional to 2,530.78, 3,494.55 and 1,743.46 is: 2,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.78 : 3,494.55 = 1,743.46 : x
  2. Step 2: Convert to fraction form
    2,530.78/3,494.55 = 1,743.46/x
  3. Step 3: Cross multiply
    2,530.78x = 3,494.55 × 1,743.46
  4. Step 4: Simplify right side
    2,530.78x = 6,092,608.14
  5. Step 5: Solve for x
    x = 6,092,608.14/2,530.78
  6. Step 6: Final answer
    x = 2,407.40

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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.