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Finding the Fourth Proportional to 1,548.70, 2,319.84 and 1,288.06

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Solution

The fourth proportional to 1,548.70, 2,319.84 and 1,288.06 is: 1,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.70 : 2,319.84 = 1,288.06 : x
  2. Step 2: Convert to fraction form
    1,548.70/2,319.84 = 1,288.06/x
  3. Step 3: Cross multiply
    1,548.70x = 2,319.84 × 1,288.06
  4. Step 4: Simplify right side
    1,548.70x = 2,988,093.11
  5. Step 5: Solve for x
    x = 2,988,093.11/1,548.70
  6. Step 6: Final answer
    x = 1,929.42

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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.