Home / 2,280.34-3,420.52-964.30

Finding the Fourth Proportional to 2,280.34, 3,420.52 and 964.30

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Solution

The fourth proportional to 2,280.34, 3,420.52 and 964.30 is: 1,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.34 : 3,420.52 = 964.30 : x
  2. Step 2: Convert to fraction form
    2,280.34/3,420.52 = 964.30/x
  3. Step 3: Cross multiply
    2,280.34x = 3,420.52 × 964.30
  4. Step 4: Simplify right side
    2,280.34x = 3,298,407.44
  5. Step 5: Solve for x
    x = 3,298,407.44/2,280.34
  6. Step 6: Final answer
    x = 1,446.45

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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.