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Finding the Fourth Proportional to 2,048.50, 3,072.39 and 587.35

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Solution

The fourth proportional to 2,048.50, 3,072.39 and 587.35 is: 880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.50 : 3,072.39 = 587.35 : x
  2. Step 2: Convert to fraction form
    2,048.50/3,072.39 = 587.35/x
  3. Step 3: Cross multiply
    2,048.50x = 3,072.39 × 587.35
  4. Step 4: Simplify right side
    2,048.50x = 1,804,568.27
  5. Step 5: Solve for x
    x = 1,804,568.27/2,048.50
  6. Step 6: Final answer
    x = 880.92

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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.