Home / 2,126.90-3,190.83-972.98

Finding the Fourth Proportional to 2,126.90, 3,190.83 and 972.98

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Solution

The fourth proportional to 2,126.90, 3,190.83 and 972.98 is: 1,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.90 : 3,190.83 = 972.98 : x
  2. Step 2: Convert to fraction form
    2,126.90/3,190.83 = 972.98/x
  3. Step 3: Cross multiply
    2,126.90x = 3,190.83 × 972.98
  4. Step 4: Simplify right side
    2,126.90x = 3,104,613.77
  5. Step 5: Solve for x
    x = 3,104,613.77/2,126.90
  6. Step 6: Final answer
    x = 1,459.69

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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.