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Finding the Fourth Proportional to 2,354.40, 3,531.62 and 623

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Solution

The fourth proportional to 2,354.40, 3,531.62 and 623 is: 934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.40 : 3,531.62 = 623 : x
  2. Step 2: Convert to fraction form
    2,354.40/3,531.62 = 623/x
  3. Step 3: Cross multiply
    2,354.40x = 3,531.62 × 623
  4. Step 4: Simplify right side
    2,354.40x = 2,200,199.26
  5. Step 5: Solve for x
    x = 2,200,199.26/2,354.40
  6. Step 6: Final answer
    x = 934.51

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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.