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Finding the Fourth Proportional to 2,324.31, 3,486.50 and 569.32

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Solution

The fourth proportional to 2,324.31, 3,486.50 and 569.32 is: 853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.31 : 3,486.50 = 569.32 : x
  2. Step 2: Convert to fraction form
    2,324.31/3,486.50 = 569.32/x
  3. Step 3: Cross multiply
    2,324.31x = 3,486.50 × 569.32
  4. Step 4: Simplify right side
    2,324.31x = 1,984,916.75
  5. Step 5: Solve for x
    x = 1,984,916.75/2,324.31
  6. Step 6: Final answer
    x = 853.98

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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.