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Finding the Fourth Proportional to 2,693.12, 3,717.44 and 1,700

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Solution

The fourth proportional to 2,693.12, 3,717.44 and 1,700 is: 2,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.12 : 3,717.44 = 1,700 : x
  2. Step 2: Convert to fraction form
    2,693.12/3,717.44 = 1,700/x
  3. Step 3: Cross multiply
    2,693.12x = 3,717.44 × 1,700
  4. Step 4: Simplify right side
    2,693.12x = 6,319,648
  5. Step 5: Solve for x
    x = 6,319,648/2,693.12
  6. Step 6: Final answer
    x = 2,346.59

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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.