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Finding the Fourth Proportional to 2,048.41, 3,072.18 and 587.17

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Solution

The fourth proportional to 2,048.41, 3,072.18 and 587.17 is: 880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.41 : 3,072.18 = 587.17 : x
  2. Step 2: Convert to fraction form
    2,048.41/3,072.18 = 587.17/x
  3. Step 3: Cross multiply
    2,048.41x = 3,072.18 × 587.17
  4. Step 4: Simplify right side
    2,048.41x = 1,803,891.93
  5. Step 5: Solve for x
    x = 1,803,891.93/2,048.41
  6. Step 6: Final answer
    x = 880.63

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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.