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Finding the Fourth Proportional to 2,031.70, 3,047.74 and 570.85

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Solution

The fourth proportional to 2,031.70, 3,047.74 and 570.85 is: 856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.70 : 3,047.74 = 570.85 : x
  2. Step 2: Convert to fraction form
    2,031.70/3,047.74 = 570.85/x
  3. Step 3: Cross multiply
    2,031.70x = 3,047.74 × 570.85
  4. Step 4: Simplify right side
    2,031.70x = 1,739,787.14
  5. Step 5: Solve for x
    x = 1,739,787.14/2,031.70
  6. Step 6: Final answer
    x = 856.32

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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.