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Finding the Fourth Proportional to 2,030.99, 3,046.14 and 569.81

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Solution

The fourth proportional to 2,030.99, 3,046.14 and 569.81 is: 854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.99 : 3,046.14 = 569.81 : x
  2. Step 2: Convert to fraction form
    2,030.99/3,046.14 = 569.81/x
  3. Step 3: Cross multiply
    2,030.99x = 3,046.14 × 569.81
  4. Step 4: Simplify right side
    2,030.99x = 1,735,721.03
  5. Step 5: Solve for x
    x = 1,735,721.03/2,030.99
  6. Step 6: Final answer
    x = 854.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.