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Finding the Fourth Proportional to 2,030.62, 3,045.96 and 569.80

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Solution

The fourth proportional to 2,030.62, 3,045.96 and 569.80 is: 854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.62 : 3,045.96 = 569.80 : x
  2. Step 2: Convert to fraction form
    2,030.62/3,045.96 = 569.80/x
  3. Step 3: Cross multiply
    2,030.62x = 3,045.96 × 569.80
  4. Step 4: Simplify right side
    2,030.62x = 1,735,588.01
  5. Step 5: Solve for x
    x = 1,735,588.01/2,030.62
  6. Step 6: Final answer
    x = 854.71

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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.