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Finding the Fourth Proportional to 2,048.26, 3,072.06 and 587.46

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Solution

The fourth proportional to 2,048.26, 3,072.06 and 587.46 is: 881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.26 : 3,072.06 = 587.46 : x
  2. Step 2: Convert to fraction form
    2,048.26/3,072.06 = 587.46/x
  3. Step 3: Cross multiply
    2,048.26x = 3,072.06 × 587.46
  4. Step 4: Simplify right side
    2,048.26x = 1,804,712.37
  5. Step 5: Solve for x
    x = 1,804,712.37/2,048.26
  6. Step 6: Final answer
    x = 881.10

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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.