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Finding the Fourth Proportional to 2,047.78, 3,071.70 and 508.78

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Solution

The fourth proportional to 2,047.78, 3,071.70 and 508.78 is: 763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.78 : 3,071.70 = 508.78 : x
  2. Step 2: Convert to fraction form
    2,047.78/3,071.70 = 508.78/x
  3. Step 3: Cross multiply
    2,047.78x = 3,071.70 × 508.78
  4. Step 4: Simplify right side
    2,047.78x = 1,562,819.53
  5. Step 5: Solve for x
    x = 1,562,819.53/2,047.78
  6. Step 6: Final answer
    x = 763.18

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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.