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Finding the Fourth Proportional to 2,102.98, 3,154.40 and 642.16

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Solution

The fourth proportional to 2,102.98, 3,154.40 and 642.16 is: 963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.98 : 3,154.40 = 642.16 : x
  2. Step 2: Convert to fraction form
    2,102.98/3,154.40 = 642.16/x
  3. Step 3: Cross multiply
    2,102.98x = 3,154.40 × 642.16
  4. Step 4: Simplify right side
    2,102.98x = 2,025,629.50
  5. Step 5: Solve for x
    x = 2,025,629.50/2,102.98
  6. Step 6: Final answer
    x = 963.22

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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.