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Finding the Fourth Proportional to 2,030.52, 3,045.43 and 569.33

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Solution

The fourth proportional to 2,030.52, 3,045.43 and 569.33 is: 853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.52 : 3,045.43 = 569.33 : x
  2. Step 2: Convert to fraction form
    2,030.52/3,045.43 = 569.33/x
  3. Step 3: Cross multiply
    2,030.52x = 3,045.43 × 569.33
  4. Step 4: Simplify right side
    2,030.52x = 1,733,854.66
  5. Step 5: Solve for x
    x = 1,733,854.66/2,030.52
  6. Step 6: Final answer
    x = 853.90

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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.