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Finding the Fourth Proportional to 2,534.52, 3,498.18 and 1,486.80

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Solution

The fourth proportional to 2,534.52, 3,498.18 and 1,486.80 is: 2,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.52 : 3,498.18 = 1,486.80 : x
  2. Step 2: Convert to fraction form
    2,534.52/3,498.18 = 1,486.80/x
  3. Step 3: Cross multiply
    2,534.52x = 3,498.18 × 1,486.80
  4. Step 4: Simplify right side
    2,534.52x = 5,201,094.02
  5. Step 5: Solve for x
    x = 5,201,094.02/2,534.52
  6. Step 6: Final answer
    x = 2,052.10

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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.