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Finding the Fourth Proportional to 2,024.41, 3,036.35 and 543.74

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Solution

The fourth proportional to 2,024.41, 3,036.35 and 543.74 is: 815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.41 : 3,036.35 = 543.74 : x
  2. Step 2: Convert to fraction form
    2,024.41/3,036.35 = 543.74/x
  3. Step 3: Cross multiply
    2,024.41x = 3,036.35 × 543.74
  4. Step 4: Simplify right side
    2,024.41x = 1,651,000.03
  5. Step 5: Solve for x
    x = 1,651,000.03/2,024.41
  6. Step 6: Final answer
    x = 815.55

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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.