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Finding the Fourth Proportional to 2,031.48, 3,046.95 and 570.78

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Solution

The fourth proportional to 2,031.48, 3,046.95 and 570.78 is: 856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.48 : 3,046.95 = 570.78 : x
  2. Step 2: Convert to fraction form
    2,031.48/3,046.95 = 570.78/x
  3. Step 3: Cross multiply
    2,031.48x = 3,046.95 × 570.78
  4. Step 4: Simplify right side
    2,031.48x = 1,739,138.12
  5. Step 5: Solve for x
    x = 1,739,138.12/2,031.48
  6. Step 6: Final answer
    x = 856.09

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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.