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Finding the Fourth Proportional to 1,697.68, 2,345.04 and 1,367.35

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Solution

The fourth proportional to 1,697.68, 2,345.04 and 1,367.35 is: 1,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.68 : 2,345.04 = 1,367.35 : x
  2. Step 2: Convert to fraction form
    1,697.68/2,345.04 = 1,367.35/x
  3. Step 3: Cross multiply
    1,697.68x = 2,345.04 × 1,367.35
  4. Step 4: Simplify right side
    1,697.68x = 3,206,490.44
  5. Step 5: Solve for x
    x = 3,206,490.44/1,697.68
  6. Step 6: Final answer
    x = 1,888.75

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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.