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Finding the Fourth Proportional to 2,051.62, 2,829.45 and 1,254.34

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Solution

The fourth proportional to 2,051.62, 2,829.45 and 1,254.34 is: 1,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.62 : 2,829.45 = 1,254.34 : x
  2. Step 2: Convert to fraction form
    2,051.62/2,829.45 = 1,254.34/x
  3. Step 3: Cross multiply
    2,051.62x = 2,829.45 × 1,254.34
  4. Step 4: Simplify right side
    2,051.62x = 3,549,092.31
  5. Step 5: Solve for x
    x = 3,549,092.31/2,051.62
  6. Step 6: Final answer
    x = 1,729.90

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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.