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Finding the Fourth Proportional to 2,603.68, 3,905.51 and 655.88

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Solution

The fourth proportional to 2,603.68, 3,905.51 and 655.88 is: 983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.68 : 3,905.51 = 655.88 : x
  2. Step 2: Convert to fraction form
    2,603.68/3,905.51 = 655.88/x
  3. Step 3: Cross multiply
    2,603.68x = 3,905.51 × 655.88
  4. Step 4: Simplify right side
    2,603.68x = 2,561,523.09
  5. Step 5: Solve for x
    x = 2,561,523.09/2,603.68
  6. Step 6: Final answer
    x = 983.81

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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.