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Finding the Fourth Proportional to 2,354.23, 3,531.34 and 893.38

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Solution

The fourth proportional to 2,354.23, 3,531.34 and 893.38 is: 1,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.23 : 3,531.34 = 893.38 : x
  2. Step 2: Convert to fraction form
    2,354.23/3,531.34 = 893.38/x
  3. Step 3: Cross multiply
    2,354.23x = 3,531.34 × 893.38
  4. Step 4: Simplify right side
    2,354.23x = 3,154,828.53
  5. Step 5: Solve for x
    x = 3,154,828.53/2,354.23
  6. Step 6: Final answer
    x = 1,340.07

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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.