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Finding the Fourth Proportional to 2,365.78, 3,264.80 and 1,371.30

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Solution

The fourth proportional to 2,365.78, 3,264.80 and 1,371.30 is: 1,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.78 : 3,264.80 = 1,371.30 : x
  2. Step 2: Convert to fraction form
    2,365.78/3,264.80 = 1,371.30/x
  3. Step 3: Cross multiply
    2,365.78x = 3,264.80 × 1,371.30
  4. Step 4: Simplify right side
    2,365.78x = 4,477,020.24
  5. Step 5: Solve for x
    x = 4,477,020.24/2,365.78
  6. Step 6: Final answer
    x = 1,892.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.