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Finding the Fourth Proportional to 2,047.37, 3,071.06 and 508.37

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Solution

The fourth proportional to 2,047.37, 3,071.06 and 508.37 is: 762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.37 : 3,071.06 = 508.37 : x
  2. Step 2: Convert to fraction form
    2,047.37/3,071.06 = 508.37/x
  3. Step 3: Cross multiply
    2,047.37x = 3,071.06 × 508.37
  4. Step 4: Simplify right side
    2,047.37x = 1,561,216.88
  5. Step 5: Solve for x
    x = 1,561,216.88/2,047.37
  6. Step 6: Final answer
    x = 762.55

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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.