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Finding the Fourth Proportional to 1,422.78, 1,973.45 and 1,362.30

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Solution

The fourth proportional to 1,422.78, 1,973.45 and 1,362.30 is: 1,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.78 : 1,973.45 = 1,362.30 : x
  2. Step 2: Convert to fraction form
    1,422.78/1,973.45 = 1,362.30/x
  3. Step 3: Cross multiply
    1,422.78x = 1,973.45 × 1,362.30
  4. Step 4: Simplify right side
    1,422.78x = 2,688,424.12
  5. Step 5: Solve for x
    x = 2,688,424.12/1,422.78
  6. Step 6: Final answer
    x = 1,889.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.