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Finding the Fourth Proportional to 1,884.47, 2,825.96 and 567.81

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Solution

The fourth proportional to 1,884.47, 2,825.96 and 567.81 is: 851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.47 : 2,825.96 = 567.81 : x
  2. Step 2: Convert to fraction form
    1,884.47/2,825.96 = 567.81/x
  3. Step 3: Cross multiply
    1,884.47x = 2,825.96 × 567.81
  4. Step 4: Simplify right side
    1,884.47x = 1,604,605.51
  5. Step 5: Solve for x
    x = 1,604,605.51/1,884.47
  6. Step 6: Final answer
    x = 851.49

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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.