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Finding the Fourth Proportional to 2,329.81, 3,494.71 and 598.44

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Solution

The fourth proportional to 2,329.81, 3,494.71 and 598.44 is: 897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.81 : 3,494.71 = 598.44 : x
  2. Step 2: Convert to fraction form
    2,329.81/3,494.71 = 598.44/x
  3. Step 3: Cross multiply
    2,329.81x = 3,494.71 × 598.44
  4. Step 4: Simplify right side
    2,329.81x = 2,091,374.25
  5. Step 5: Solve for x
    x = 2,091,374.25/2,329.81
  6. Step 6: Final answer
    x = 897.66

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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.