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Finding the Fourth Proportional to 2,397.88, 3,597.99 and 1,709.02

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Solution

The fourth proportional to 2,397.88, 3,597.99 and 1,709.02 is: 2,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.88 : 3,597.99 = 1,709.02 : x
  2. Step 2: Convert to fraction form
    2,397.88/3,597.99 = 1,709.02/x
  3. Step 3: Cross multiply
    2,397.88x = 3,597.99 × 1,709.02
  4. Step 4: Simplify right side
    2,397.88x = 6,149,036.87
  5. Step 5: Solve for x
    x = 6,149,036.87/2,397.88
  6. Step 6: Final answer
    x = 2,564.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.