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Finding the Fourth Proportional to 2,048.29, 3,072.89 and 587.33

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Solution

The fourth proportional to 2,048.29, 3,072.89 and 587.33 is: 881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.29 : 3,072.89 = 587.33 : x
  2. Step 2: Convert to fraction form
    2,048.29/3,072.89 = 587.33/x
  3. Step 3: Cross multiply
    2,048.29x = 3,072.89 × 587.33
  4. Step 4: Simplify right side
    2,048.29x = 1,804,800.48
  5. Step 5: Solve for x
    x = 1,804,800.48/2,048.29
  6. Step 6: Final answer
    x = 881.13

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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.