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Finding the Fourth Proportional to 1,427.22, 1,969.38 and 903.06

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Solution

The fourth proportional to 1,427.22, 1,969.38 and 903.06 is: 1,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.22 : 1,969.38 = 903.06 : x
  2. Step 2: Convert to fraction form
    1,427.22/1,969.38 = 903.06/x
  3. Step 3: Cross multiply
    1,427.22x = 1,969.38 × 903.06
  4. Step 4: Simplify right side
    1,427.22x = 1,778,468.30
  5. Step 5: Solve for x
    x = 1,778,468.30/1,427.22
  6. Step 6: Final answer
    x = 1,246.11

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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.