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Finding the Fourth Proportional to 1,357.84, 1,874.78 and 1,059.41

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Solution

The fourth proportional to 1,357.84, 1,874.78 and 1,059.41 is: 1,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.84 : 1,874.78 = 1,059.41 : x
  2. Step 2: Convert to fraction form
    1,357.84/1,874.78 = 1,059.41/x
  3. Step 3: Cross multiply
    1,357.84x = 1,874.78 × 1,059.41
  4. Step 4: Simplify right side
    1,357.84x = 1,986,153.04
  5. Step 5: Solve for x
    x = 1,986,153.04/1,357.84
  6. Step 6: Final answer
    x = 1,462.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.