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Finding the Fourth Proportional to 2,047.86, 3,071.82 and 508.86

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Solution

The fourth proportional to 2,047.86, 3,071.82 and 508.86 is: 763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.86 : 3,071.82 = 508.86 : x
  2. Step 2: Convert to fraction form
    2,047.86/3,071.82 = 508.86/x
  3. Step 3: Cross multiply
    2,047.86x = 3,071.82 × 508.86
  4. Step 4: Simplify right side
    2,047.86x = 1,563,126.33
  5. Step 5: Solve for x
    x = 1,563,126.33/2,047.86
  6. Step 6: Final answer
    x = 763.30

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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.