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Finding the Fourth Proportional to 3,256.32, 4,883.76 and 1,176

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Solution

The fourth proportional to 3,256.32, 4,883.76 and 1,176 is: 1,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.32 : 4,883.76 = 1,176 : x
  2. Step 2: Convert to fraction form
    3,256.32/4,883.76 = 1,176/x
  3. Step 3: Cross multiply
    3,256.32x = 4,883.76 × 1,176
  4. Step 4: Simplify right side
    3,256.32x = 5,743,301.76
  5. Step 5: Solve for x
    x = 5,743,301.76/3,256.32
  6. Step 6: Final answer
    x = 1,763.74

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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.