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Finding the Fourth Proportional to 2,632.62, 3,946.29 and 900.06

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Solution

The fourth proportional to 2,632.62, 3,946.29 and 900.06 is: 1,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.62 : 3,946.29 = 900.06 : x
  2. Step 2: Convert to fraction form
    2,632.62/3,946.29 = 900.06/x
  3. Step 3: Cross multiply
    2,632.62x = 3,946.29 × 900.06
  4. Step 4: Simplify right side
    2,632.62x = 3,551,897.78
  5. Step 5: Solve for x
    x = 3,551,897.78/2,632.62
  6. Step 6: Final answer
    x = 1,349.19

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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.