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Finding the Fourth Proportional to 3,430.98, 5,146.47 and 1,378.50

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Solution

The fourth proportional to 3,430.98, 5,146.47 and 1,378.50 is: 2,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.98 : 5,146.47 = 1,378.50 : x
  2. Step 2: Convert to fraction form
    3,430.98/5,146.47 = 1,378.50/x
  3. Step 3: Cross multiply
    3,430.98x = 5,146.47 × 1,378.50
  4. Step 4: Simplify right side
    3,430.98x = 7,094,408.90
  5. Step 5: Solve for x
    x = 7,094,408.90/3,430.98
  6. Step 6: Final answer
    x = 2,067.75

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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.