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Finding the Fourth Proportional to 2,047.90, 3,072.38 and 587.16

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Solution

The fourth proportional to 2,047.90, 3,072.38 and 587.16 is: 880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.90 : 3,072.38 = 587.16 : x
  2. Step 2: Convert to fraction form
    2,047.90/3,072.38 = 587.16/x
  3. Step 3: Cross multiply
    2,047.90x = 3,072.38 × 587.16
  4. Step 4: Simplify right side
    2,047.90x = 1,803,978.64
  5. Step 5: Solve for x
    x = 1,803,978.64/2,047.90
  6. Step 6: Final answer
    x = 880.89

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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.