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Finding the Fourth Proportional to 1,757.35, 2,424.53 and 1,127.82

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Solution

The fourth proportional to 1,757.35, 2,424.53 and 1,127.82 is: 1,556.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.35 : 2,424.53 = 1,127.82 : x
  2. Step 2: Convert to fraction form
    1,757.35/2,424.53 = 1,127.82/x
  3. Step 3: Cross multiply
    1,757.35x = 2,424.53 × 1,127.82
  4. Step 4: Simplify right side
    1,757.35x = 2,734,445.34
  5. Step 5: Solve for x
    x = 2,734,445.34/1,757.35
  6. Step 6: Final answer
    x = 1,556.01

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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.