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Finding the Fourth Proportional to 1,352.94, 2,019.62 and 1,188.91

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Solution

The fourth proportional to 1,352.94, 2,019.62 and 1,188.91 is: 1,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.94 : 2,019.62 = 1,188.91 : x
  2. Step 2: Convert to fraction form
    1,352.94/2,019.62 = 1,188.91/x
  3. Step 3: Cross multiply
    1,352.94x = 2,019.62 × 1,188.91
  4. Step 4: Simplify right side
    1,352.94x = 2,401,146.41
  5. Step 5: Solve for x
    x = 2,401,146.41/1,352.94
  6. Step 6: Final answer
    x = 1,774.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.