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Finding the Fourth Proportional to 2,329.67, 3,494.51 and 598.29

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Solution

The fourth proportional to 2,329.67, 3,494.51 and 598.29 is: 897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.67 : 3,494.51 = 598.29 : x
  2. Step 2: Convert to fraction form
    2,329.67/3,494.51 = 598.29/x
  3. Step 3: Cross multiply
    2,329.67x = 3,494.51 × 598.29
  4. Step 4: Simplify right side
    2,329.67x = 2,090,727.40
  5. Step 5: Solve for x
    x = 2,090,727.40/2,329.67
  6. Step 6: Final answer
    x = 897.44

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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.