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Finding the Fourth Proportional to 2,300.64, 3,450.93 and 569.25

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Solution

The fourth proportional to 2,300.64, 3,450.93 and 569.25 is: 853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.64 : 3,450.93 = 569.25 : x
  2. Step 2: Convert to fraction form
    2,300.64/3,450.93 = 569.25/x
  3. Step 3: Cross multiply
    2,300.64x = 3,450.93 × 569.25
  4. Step 4: Simplify right side
    2,300.64x = 1,964,441.90
  5. Step 5: Solve for x
    x = 1,964,441.90/2,300.64
  6. Step 6: Final answer
    x = 853.87

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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.