Home / 2,864.14-4,296.36-916.20

Finding the Fourth Proportional to 2,864.14, 4,296.36 and 916.20

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Solution

The fourth proportional to 2,864.14, 4,296.36 and 916.20 is: 1,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.14 : 4,296.36 = 916.20 : x
  2. Step 2: Convert to fraction form
    2,864.14/4,296.36 = 916.20/x
  3. Step 3: Cross multiply
    2,864.14x = 4,296.36 × 916.20
  4. Step 4: Simplify right side
    2,864.14x = 3,936,325.03
  5. Step 5: Solve for x
    x = 3,936,325.03/2,864.14
  6. Step 6: Final answer
    x = 1,374.35

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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.