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Finding the Fourth Proportional to 1,865.23, 2,795.24 and 1,402.47

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Solution

The fourth proportional to 1,865.23, 2,795.24 and 1,402.47 is: 2,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.23 : 2,795.24 = 1,402.47 : x
  2. Step 2: Convert to fraction form
    1,865.23/2,795.24 = 1,402.47/x
  3. Step 3: Cross multiply
    1,865.23x = 2,795.24 × 1,402.47
  4. Step 4: Simplify right side
    1,865.23x = 3,920,243.75
  5. Step 5: Solve for x
    x = 3,920,243.75/1,865.23
  6. Step 6: Final answer
    x = 2,101.75

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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.