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Finding the Fourth Proportional to 1,689.86, 2,328.81 and 1,216.92

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Solution

The fourth proportional to 1,689.86, 2,328.81 and 1,216.92 is: 1,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.86 : 2,328.81 = 1,216.92 : x
  2. Step 2: Convert to fraction form
    1,689.86/2,328.81 = 1,216.92/x
  3. Step 3: Cross multiply
    1,689.86x = 2,328.81 × 1,216.92
  4. Step 4: Simplify right side
    1,689.86x = 2,833,975.47
  5. Step 5: Solve for x
    x = 2,833,975.47/1,689.86
  6. Step 6: Final answer
    x = 1,677.05

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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.