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Finding the Fourth Proportional to 1,695.68, 2,342.28 and 1,365.35

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Solution

The fourth proportional to 1,695.68, 2,342.28 and 1,365.35 is: 1,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.68 : 2,342.28 = 1,365.35 : x
  2. Step 2: Convert to fraction form
    1,695.68/2,342.28 = 1,365.35/x
  3. Step 3: Cross multiply
    1,695.68x = 2,342.28 × 1,365.35
  4. Step 4: Simplify right side
    1,695.68x = 3,198,032.00
  5. Step 5: Solve for x
    x = 3,198,032.00/1,695.68
  6. Step 6: Final answer
    x = 1,885.99

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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.