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Finding the Fourth Proportional to 2,333.07, 3,499.58 and 689.65

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Solution

The fourth proportional to 2,333.07, 3,499.58 and 689.65 is: 1,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.07 : 3,499.58 = 689.65 : x
  2. Step 2: Convert to fraction form
    2,333.07/3,499.58 = 689.65/x
  3. Step 3: Cross multiply
    2,333.07x = 3,499.58 × 689.65
  4. Step 4: Simplify right side
    2,333.07x = 2,413,478.32
  5. Step 5: Solve for x
    x = 2,413,478.32/2,333.07
  6. Step 6: Final answer
    x = 1,034.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.