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Finding the Fourth Proportional to 1,427.68, 2,139.63 and 906.04

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Solution

The fourth proportional to 1,427.68, 2,139.63 and 906.04 is: 1,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.68 : 2,139.63 = 906.04 : x
  2. Step 2: Convert to fraction form
    1,427.68/2,139.63 = 906.04/x
  3. Step 3: Cross multiply
    1,427.68x = 2,139.63 × 906.04
  4. Step 4: Simplify right side
    1,427.68x = 1,938,590.37
  5. Step 5: Solve for x
    x = 1,938,590.37/1,427.68
  6. Step 6: Final answer
    x = 1,357.86

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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.