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Finding the Fourth Proportional to 2,030.49, 3,046.23 and 569.62

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Solution

The fourth proportional to 2,030.49, 3,046.23 and 569.62 is: 854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.49 : 3,046.23 = 569.62 : x
  2. Step 2: Convert to fraction form
    2,030.49/3,046.23 = 569.62/x
  3. Step 3: Cross multiply
    2,030.49x = 3,046.23 × 569.62
  4. Step 4: Simplify right side
    2,030.49x = 1,735,193.53
  5. Step 5: Solve for x
    x = 1,735,193.53/2,030.49
  6. Step 6: Final answer
    x = 854.57

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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.