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Finding the Fourth Proportional to 1,427.42, 2,141.34 and 880.19

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Solution

The fourth proportional to 1,427.42, 2,141.34 and 880.19 is: 1,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.42 : 2,141.34 = 880.19 : x
  2. Step 2: Convert to fraction form
    1,427.42/2,141.34 = 880.19/x
  3. Step 3: Cross multiply
    1,427.42x = 2,141.34 × 880.19
  4. Step 4: Simplify right side
    1,427.42x = 1,884,775.35
  5. Step 5: Solve for x
    x = 1,884,775.35/1,427.42
  6. Step 6: Final answer
    x = 1,320.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.