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Finding the Fourth Proportional to 2,556.40, 3,527.84 and 1,437.38

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Solution

The fourth proportional to 2,556.40, 3,527.84 and 1,437.38 is: 1,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.40 : 3,527.84 = 1,437.38 : x
  2. Step 2: Convert to fraction form
    2,556.40/3,527.84 = 1,437.38/x
  3. Step 3: Cross multiply
    2,556.40x = 3,527.84 × 1,437.38
  4. Step 4: Simplify right side
    2,556.40x = 5,070,839.47
  5. Step 5: Solve for x
    x = 5,070,839.47/2,556.40
  6. Step 6: Final answer
    x = 1,983.59

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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.