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Finding the Fourth Proportional to 3,348, 4,620.31 and 1,931.72

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Solution

The fourth proportional to 3,348, 4,620.31 and 1,931.72 is: 2,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348 : 4,620.31 = 1,931.72 : x
  2. Step 2: Convert to fraction form
    3,348/4,620.31 = 1,931.72/x
  3. Step 3: Cross multiply
    3,348x = 4,620.31 × 1,931.72
  4. Step 4: Simplify right side
    3,348x = 8,925,117.30
  5. Step 5: Solve for x
    x = 8,925,117.30/3,348
  6. Step 6: Final answer
    x = 2,665.81

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