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Finding the Fourth Proportional to 1,365.49, 2,047.28 and 925.66

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Solution

The fourth proportional to 1,365.49, 2,047.28 and 925.66 is: 1,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.49 : 2,047.28 = 925.66 : x
  2. Step 2: Convert to fraction form
    1,365.49/2,047.28 = 925.66/x
  3. Step 3: Cross multiply
    1,365.49x = 2,047.28 × 925.66
  4. Step 4: Simplify right side
    1,365.49x = 1,895,083.14
  5. Step 5: Solve for x
    x = 1,895,083.14/1,365.49
  6. Step 6: Final answer
    x = 1,387.84

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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.