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Finding the Fourth Proportional to 2,202.93, 3,304.33 and 643.01

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Solution

The fourth proportional to 2,202.93, 3,304.33 and 643.01 is: 964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.93 : 3,304.33 = 643.01 : x
  2. Step 2: Convert to fraction form
    2,202.93/3,304.33 = 643.01/x
  3. Step 3: Cross multiply
    2,202.93x = 3,304.33 × 643.01
  4. Step 4: Simplify right side
    2,202.93x = 2,124,699.10
  5. Step 5: Solve for x
    x = 2,124,699.10/2,202.93
  6. Step 6: Final answer
    x = 964.49

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Double scale
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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.