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Finding the Fourth Proportional to 2,103.48, 3,154.24 and 642.32

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Solution

The fourth proportional to 2,103.48, 3,154.24 and 642.32 is: 963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.48 : 3,154.24 = 642.32 : x
  2. Step 2: Convert to fraction form
    2,103.48/3,154.24 = 642.32/x
  3. Step 3: Cross multiply
    2,103.48x = 3,154.24 × 642.32
  4. Step 4: Simplify right side
    2,103.48x = 2,026,031.44
  5. Step 5: Solve for x
    x = 2,026,031.44/2,103.48
  6. Step 6: Final answer
    x = 963.18

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1.5x scale

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.