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Finding the Fourth Proportional to 2,031.25, 3,046.86 and 570.40

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Solution

The fourth proportional to 2,031.25, 3,046.86 and 570.40 is: 855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.25 : 3,046.86 = 570.40 : x
  2. Step 2: Convert to fraction form
    2,031.25/3,046.86 = 570.40/x
  3. Step 3: Cross multiply
    2,031.25x = 3,046.86 × 570.40
  4. Step 4: Simplify right side
    2,031.25x = 1,737,928.94
  5. Step 5: Solve for x
    x = 1,737,928.94/2,031.25
  6. Step 6: Final answer
    x = 855.60

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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.