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Finding the Fourth Proportional to 2,048.76, 3,072.80 and 587.59

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Solution

The fourth proportional to 2,048.76, 3,072.80 and 587.59 is: 881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.76 : 3,072.80 = 587.59 : x
  2. Step 2: Convert to fraction form
    2,048.76/3,072.80 = 587.59/x
  3. Step 3: Cross multiply
    2,048.76x = 3,072.80 × 587.59
  4. Step 4: Simplify right side
    2,048.76x = 1,805,540.34
  5. Step 5: Solve for x
    x = 1,805,540.34/2,048.76
  6. Step 6: Final answer
    x = 881.28

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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.