Home / 2,407.50-3,609.23-947.70

Finding the Fourth Proportional to 2,407.50, 3,609.23 and 947.70

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Solution

The fourth proportional to 2,407.50, 3,609.23 and 947.70 is: 1,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.50 : 3,609.23 = 947.70 : x
  2. Step 2: Convert to fraction form
    2,407.50/3,609.23 = 947.70/x
  3. Step 3: Cross multiply
    2,407.50x = 3,609.23 × 947.70
  4. Step 4: Simplify right side
    2,407.50x = 3,420,462.53
  5. Step 5: Solve for x
    x = 3,420,462.53/2,407.50
  6. Step 6: Final answer
    x = 1,420.75

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1.5x scale

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.