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Finding the Fourth Proportional to 1,695.90, 2,339.46 and 1,197.75

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Solution

The fourth proportional to 1,695.90, 2,339.46 and 1,197.75 is: 1,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.90 : 2,339.46 = 1,197.75 : x
  2. Step 2: Convert to fraction form
    1,695.90/2,339.46 = 1,197.75/x
  3. Step 3: Cross multiply
    1,695.90x = 2,339.46 × 1,197.75
  4. Step 4: Simplify right side
    1,695.90x = 2,802,088.22
  5. Step 5: Solve for x
    x = 2,802,088.22/1,695.90
  6. Step 6: Final answer
    x = 1,652.27

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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.