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Finding the Fourth Proportional to 2,329.94, 3,494.84 and 598.56

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Solution

The fourth proportional to 2,329.94, 3,494.84 and 598.56 is: 897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.94 : 3,494.84 = 598.56 : x
  2. Step 2: Convert to fraction form
    2,329.94/3,494.84 = 598.56/x
  3. Step 3: Cross multiply
    2,329.94x = 3,494.84 × 598.56
  4. Step 4: Simplify right side
    2,329.94x = 2,091,868.44
  5. Step 5: Solve for x
    x = 2,091,868.44/2,329.94
  6. Step 6: Final answer
    x = 897.82

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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.