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Finding the Fourth Proportional to 1,767.12, 2,438.50 and 970.32

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Solution

The fourth proportional to 1,767.12, 2,438.50 and 970.32 is: 1,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.12 : 2,438.50 = 970.32 : x
  2. Step 2: Convert to fraction form
    1,767.12/2,438.50 = 970.32/x
  3. Step 3: Cross multiply
    1,767.12x = 2,438.50 × 970.32
  4. Step 4: Simplify right side
    1,767.12x = 2,366,125.32
  5. Step 5: Solve for x
    x = 2,366,125.32/1,767.12
  6. Step 6: Final answer
    x = 1,338.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.