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Finding the Fourth Proportional to 2,096.34, 3,148.16 and 1,931.50

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Solution

The fourth proportional to 2,096.34, 3,148.16 and 1,931.50 is: 2,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.34 : 3,148.16 = 1,931.50 : x
  2. Step 2: Convert to fraction form
    2,096.34/3,148.16 = 1,931.50/x
  3. Step 3: Cross multiply
    2,096.34x = 3,148.16 × 1,931.50
  4. Step 4: Simplify right side
    2,096.34x = 6,080,671.04
  5. Step 5: Solve for x
    x = 6,080,671.04/2,096.34
  6. Step 6: Final answer
    x = 2,900.61

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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.