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Finding the Fourth Proportional to 2,024.66, 3,041.58 and 1,747.86

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Solution

The fourth proportional to 2,024.66, 3,041.58 and 1,747.86 is: 2,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.66 : 3,041.58 = 1,747.86 : x
  2. Step 2: Convert to fraction form
    2,024.66/3,041.58 = 1,747.86/x
  3. Step 3: Cross multiply
    2,024.66x = 3,041.58 × 1,747.86
  4. Step 4: Simplify right side
    2,024.66x = 5,316,256.02
  5. Step 5: Solve for x
    x = 5,316,256.02/2,024.66
  6. Step 6: Final answer
    x = 2,625.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.