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Finding the Fourth Proportional to 2,848.46, 3,931.26 and 1,670

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Solution

The fourth proportional to 2,848.46, 3,931.26 and 1,670 is: 2,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.46 : 3,931.26 = 1,670 : x
  2. Step 2: Convert to fraction form
    2,848.46/3,931.26 = 1,670/x
  3. Step 3: Cross multiply
    2,848.46x = 3,931.26 × 1,670
  4. Step 4: Simplify right side
    2,848.46x = 6,565,204.20
  5. Step 5: Solve for x
    x = 6,565,204.20/2,848.46
  6. Step 6: Final answer
    x = 2,304.83

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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.