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Finding the Fourth Proportional to 1,867.59, 2,801.42 and 569.07

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Solution

The fourth proportional to 1,867.59, 2,801.42 and 569.07 is: 853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.59 : 2,801.42 = 569.07 : x
  2. Step 2: Convert to fraction form
    1,867.59/2,801.42 = 569.07/x
  3. Step 3: Cross multiply
    1,867.59x = 2,801.42 × 569.07
  4. Step 4: Simplify right side
    1,867.59x = 1,594,201.23
  5. Step 5: Solve for x
    x = 1,594,201.23/1,867.59
  6. Step 6: Final answer
    x = 853.61

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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.