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Finding the Fourth Proportional to 2,047.78, 3,071.10 and 587.02

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Solution

The fourth proportional to 2,047.78, 3,071.10 and 587.02 is: 880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.78 : 3,071.10 = 587.02 : x
  2. Step 2: Convert to fraction form
    2,047.78/3,071.10 = 587.02/x
  3. Step 3: Cross multiply
    2,047.78x = 3,071.10 × 587.02
  4. Step 4: Simplify right side
    2,047.78x = 1,802,797.12
  5. Step 5: Solve for x
    x = 1,802,797.12/2,047.78
  6. Step 6: Final answer
    x = 880.37

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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.