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Finding the Fourth Proportional to 1,273.36, 1,741.62 and 1,253.20

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Solution

The fourth proportional to 1,273.36, 1,741.62 and 1,253.20 is: 1,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.36 : 1,741.62 = 1,253.20 : x
  2. Step 2: Convert to fraction form
    1,273.36/1,741.62 = 1,253.20/x
  3. Step 3: Cross multiply
    1,273.36x = 1,741.62 × 1,253.20
  4. Step 4: Simplify right side
    1,273.36x = 2,182,598.18
  5. Step 5: Solve for x
    x = 2,182,598.18/1,273.36
  6. Step 6: Final answer
    x = 1,714.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.