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Finding the Fourth Proportional to 3,332.70, 5,002.14 and 1,690.41

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Solution

The fourth proportional to 3,332.70, 5,002.14 and 1,690.41 is: 2,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.70 : 5,002.14 = 1,690.41 : x
  2. Step 2: Convert to fraction form
    3,332.70/5,002.14 = 1,690.41/x
  3. Step 3: Cross multiply
    3,332.70x = 5,002.14 × 1,690.41
  4. Step 4: Simplify right side
    3,332.70x = 8,455,667.48
  5. Step 5: Solve for x
    x = 8,455,667.48/3,332.70
  6. Step 6: Final answer
    x = 2,537.18

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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.