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Finding the Fourth Proportional to 1,688.78, 2,332.11 and 1,596.74

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Solution

The fourth proportional to 1,688.78, 2,332.11 and 1,596.74 is: 2,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.78 : 2,332.11 = 1,596.74 : x
  2. Step 2: Convert to fraction form
    1,688.78/2,332.11 = 1,596.74/x
  3. Step 3: Cross multiply
    1,688.78x = 2,332.11 × 1,596.74
  4. Step 4: Simplify right side
    1,688.78x = 3,723,761.66
  5. Step 5: Solve for x
    x = 3,723,761.66/1,688.78
  6. Step 6: Final answer
    x = 2,205.01

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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.