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Finding the Fourth Proportional to 2,030.97, 3,046.46 and 570.14

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Solution

The fourth proportional to 2,030.97, 3,046.46 and 570.14 is: 855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.97 : 3,046.46 = 570.14 : x
  2. Step 2: Convert to fraction form
    2,030.97/3,046.46 = 570.14/x
  3. Step 3: Cross multiply
    2,030.97x = 3,046.46 × 570.14
  4. Step 4: Simplify right side
    2,030.97x = 1,736,890.62
  5. Step 5: Solve for x
    x = 1,736,890.62/2,030.97
  6. Step 6: Final answer
    x = 855.20

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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.