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Finding the Fourth Proportional to 2,103.64, 3,155.19 and 642.40

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Solution

The fourth proportional to 2,103.64, 3,155.19 and 642.40 is: 963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.64 : 3,155.19 = 642.40 : x
  2. Step 2: Convert to fraction form
    2,103.64/3,155.19 = 642.40/x
  3. Step 3: Cross multiply
    2,103.64x = 3,155.19 × 642.40
  4. Step 4: Simplify right side
    2,103.64x = 2,026,894.06
  5. Step 5: Solve for x
    x = 2,026,894.06/2,103.64
  6. Step 6: Final answer
    x = 963.52

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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.