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Finding the Fourth Proportional to 1,689.93, 2,333.61 and 1,597.86

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Solution

The fourth proportional to 1,689.93, 2,333.61 and 1,597.86 is: 2,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.93 : 2,333.61 = 1,597.86 : x
  2. Step 2: Convert to fraction form
    1,689.93/2,333.61 = 1,597.86/x
  3. Step 3: Cross multiply
    1,689.93x = 2,333.61 × 1,597.86
  4. Step 4: Simplify right side
    1,689.93x = 3,728,782.07
  5. Step 5: Solve for x
    x = 3,728,782.07/1,689.93
  6. Step 6: Final answer
    x = 2,206.47

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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.