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Finding the Fourth Proportional to 2,048.16, 3,072.75 and 587.41

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Solution

The fourth proportional to 2,048.16, 3,072.75 and 587.41 is: 881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.16 : 3,072.75 = 587.41 : x
  2. Step 2: Convert to fraction form
    2,048.16/3,072.75 = 587.41/x
  3. Step 3: Cross multiply
    2,048.16x = 3,072.75 × 587.41
  4. Step 4: Simplify right side
    2,048.16x = 1,804,964.08
  5. Step 5: Solve for x
    x = 1,804,964.08/2,048.16
  6. Step 6: Final answer
    x = 881.26

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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.