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Finding the Fourth Proportional to 1,550, 2,324.52 and 454.16

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Solution

The fourth proportional to 1,550, 2,324.52 and 454.16 is: 681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550 : 2,324.52 = 454.16 : x
  2. Step 2: Convert to fraction form
    1,550/2,324.52 = 454.16/x
  3. Step 3: Cross multiply
    1,550x = 2,324.52 × 454.16
  4. Step 4: Simplify right side
    1,550x = 1,055,704.00
  5. Step 5: Solve for x
    x = 1,055,704.00/1,550
  6. Step 6: Final answer
    x = 681.10

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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.