Home / 2,126.10-3,189.15-974.10

Finding the Fourth Proportional to 2,126.10, 3,189.15 and 974.10

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Solution

The fourth proportional to 2,126.10, 3,189.15 and 974.10 is: 1,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.10 : 3,189.15 = 974.10 : x
  2. Step 2: Convert to fraction form
    2,126.10/3,189.15 = 974.10/x
  3. Step 3: Cross multiply
    2,126.10x = 3,189.15 × 974.10
  4. Step 4: Simplify right side
    2,126.10x = 3,106,551.02
  5. Step 5: Solve for x
    x = 3,106,551.02/2,126.10
  6. Step 6: Final answer
    x = 1,461.15

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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.