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Finding the Fourth Proportional to 2,048.15, 3,072.40 and 587.32

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Solution

The fourth proportional to 2,048.15, 3,072.40 and 587.32 is: 881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.15 : 3,072.40 = 587.32 : x
  2. Step 2: Convert to fraction form
    2,048.15/3,072.40 = 587.32/x
  3. Step 3: Cross multiply
    2,048.15x = 3,072.40 × 587.32
  4. Step 4: Simplify right side
    2,048.15x = 1,804,472.82
  5. Step 5: Solve for x
    x = 1,804,472.82/2,048.15
  6. Step 6: Final answer
    x = 881.02

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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.