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Finding the Fourth Proportional to 1,689.72, 2,331.27 and 1,100.40

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Solution

The fourth proportional to 1,689.72, 2,331.27 and 1,100.40 is: 1,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.72 : 2,331.27 = 1,100.40 : x
  2. Step 2: Convert to fraction form
    1,689.72/2,331.27 = 1,100.40/x
  3. Step 3: Cross multiply
    1,689.72x = 2,331.27 × 1,100.40
  4. Step 4: Simplify right side
    1,689.72x = 2,565,329.51
  5. Step 5: Solve for x
    x = 2,565,329.51/1,689.72
  6. Step 6: Final answer
    x = 1,518.20

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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.