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Finding the Fourth Proportional to 2,263.32, 3,397.42 and 948

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Solution

The fourth proportional to 2,263.32, 3,397.42 and 948 is: 1,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.32 : 3,397.42 = 948 : x
  2. Step 2: Convert to fraction form
    2,263.32/3,397.42 = 948/x
  3. Step 3: Cross multiply
    2,263.32x = 3,397.42 × 948
  4. Step 4: Simplify right side
    2,263.32x = 3,220,751.79
  5. Step 5: Solve for x
    x = 3,220,751.79/2,263.32
  6. Step 6: Final answer
    x = 1,423.02

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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.