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Finding the Fourth Proportional to 1,437.28, 2,152.80 and 858.88

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Solution

The fourth proportional to 1,437.28, 2,152.80 and 858.88 is: 1,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.28 : 2,152.80 = 858.88 : x
  2. Step 2: Convert to fraction form
    1,437.28/2,152.80 = 858.88/x
  3. Step 3: Cross multiply
    1,437.28x = 2,152.80 × 858.88
  4. Step 4: Simplify right side
    1,437.28x = 1,848,996.86
  5. Step 5: Solve for x
    x = 1,848,996.86/1,437.28
  6. Step 6: Final answer
    x = 1,286.46

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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.