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Finding the Fourth Proportional to 2,333.15, 3,498.91 and 689.26

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Solution

The fourth proportional to 2,333.15, 3,498.91 and 689.26 is: 1,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.15 : 3,498.91 = 689.26 : x
  2. Step 2: Convert to fraction form
    2,333.15/3,498.91 = 689.26/x
  3. Step 3: Cross multiply
    2,333.15x = 3,498.91 × 689.26
  4. Step 4: Simplify right side
    2,333.15x = 2,411,658.71
  5. Step 5: Solve for x
    x = 2,411,658.71/2,333.15
  6. Step 6: Final answer
    x = 1,033.65

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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.