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Finding the Fourth Proportional to 3,020, 4,167.68 and 1,693.66

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Solution

The fourth proportional to 3,020, 4,167.68 and 1,693.66 is: 2,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020 : 4,167.68 = 1,693.66 : x
  2. Step 2: Convert to fraction form
    3,020/4,167.68 = 1,693.66/x
  3. Step 3: Cross multiply
    3,020x = 4,167.68 × 1,693.66
  4. Step 4: Simplify right side
    3,020x = 7,058,632.91
  5. Step 5: Solve for x
    x = 7,058,632.91/3,020
  6. Step 6: Final answer
    x = 2,337.30

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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.