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Finding the Fourth Proportional to 1,427.64, 2,138.62 and 880.89

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Solution

The fourth proportional to 1,427.64, 2,138.62 and 880.89 is: 1,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.64 : 2,138.62 = 880.89 : x
  2. Step 2: Convert to fraction form
    1,427.64/2,138.62 = 880.89/x
  3. Step 3: Cross multiply
    1,427.64x = 2,138.62 × 880.89
  4. Step 4: Simplify right side
    1,427.64x = 1,883,888.97
  5. Step 5: Solve for x
    x = 1,883,888.97/1,427.64
  6. Step 6: Final answer
    x = 1,319.58

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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.