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Finding the Fourth Proportional to 2,354.32, 3,531.51 and 622.93

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Solution

The fourth proportional to 2,354.32, 3,531.51 and 622.93 is: 934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.32 : 3,531.51 = 622.93 : x
  2. Step 2: Convert to fraction form
    2,354.32/3,531.51 = 622.93/x
  3. Step 3: Cross multiply
    2,354.32x = 3,531.51 × 622.93
  4. Step 4: Simplify right side
    2,354.32x = 2,199,883.52
  5. Step 5: Solve for x
    x = 2,199,883.52/2,354.32
  6. Step 6: Final answer
    x = 934.40

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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.