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Finding the Fourth Proportional to 2,030.69, 3,046.55 and 569.85

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Solution

The fourth proportional to 2,030.69, 3,046.55 and 569.85 is: 854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.69 : 3,046.55 = 569.85 : x
  2. Step 2: Convert to fraction form
    2,030.69/3,046.55 = 569.85/x
  3. Step 3: Cross multiply
    2,030.69x = 3,046.55 × 569.85
  4. Step 4: Simplify right side
    2,030.69x = 1,736,073.67
  5. Step 5: Solve for x
    x = 1,736,073.67/2,030.69
  6. Step 6: Final answer
    x = 854.92

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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.