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Finding the Fourth Proportional to 2,329.91, 3,495.07 and 598.53

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Solution

The fourth proportional to 2,329.91, 3,495.07 and 598.53 is: 897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.91 : 3,495.07 = 598.53 : x
  2. Step 2: Convert to fraction form
    2,329.91/3,495.07 = 598.53/x
  3. Step 3: Cross multiply
    2,329.91x = 3,495.07 × 598.53
  4. Step 4: Simplify right side
    2,329.91x = 2,091,901.25
  5. Step 5: Solve for x
    x = 2,091,901.25/2,329.91
  6. Step 6: Final answer
    x = 897.85

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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.