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Finding the Fourth Proportional to 1,695.49, 2,339.66 and 1,135.87

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Solution

The fourth proportional to 1,695.49, 2,339.66 and 1,135.87 is: 1,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.49 : 2,339.66 = 1,135.87 : x
  2. Step 2: Convert to fraction form
    1,695.49/2,339.66 = 1,135.87/x
  3. Step 3: Cross multiply
    1,695.49x = 2,339.66 × 1,135.87
  4. Step 4: Simplify right side
    1,695.49x = 2,657,542.34
  5. Step 5: Solve for x
    x = 2,657,542.34/1,695.49
  6. Step 6: Final answer
    x = 1,567.42

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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.