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Finding the Fourth Proportional to 2,300.58, 3,450.82 and 569.22

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Solution

The fourth proportional to 2,300.58, 3,450.82 and 569.22 is: 853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.58 : 3,450.82 = 569.22 : x
  2. Step 2: Convert to fraction form
    2,300.58/3,450.82 = 569.22/x
  3. Step 3: Cross multiply
    2,300.58x = 3,450.82 × 569.22
  4. Step 4: Simplify right side
    2,300.58x = 1,964,275.76
  5. Step 5: Solve for x
    x = 1,964,275.76/2,300.58
  6. Step 6: Final answer
    x = 853.82

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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.