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Finding the Fourth Proportional to 1,690.17, 2,331.14 and 1,454.51

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Solution

The fourth proportional to 1,690.17, 2,331.14 and 1,454.51 is: 2,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.17 : 2,331.14 = 1,454.51 : x
  2. Step 2: Convert to fraction form
    1,690.17/2,331.14 = 1,454.51/x
  3. Step 3: Cross multiply
    1,690.17x = 2,331.14 × 1,454.51
  4. Step 4: Simplify right side
    1,690.17x = 3,390,662.79
  5. Step 5: Solve for x
    x = 3,390,662.79/1,690.17
  6. Step 6: Final answer
    x = 2,006.11

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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.