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Finding the Fourth Proportional to 1,690.94, 2,521.98 and 1,632.17

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Solution

The fourth proportional to 1,690.94, 2,521.98 and 1,632.17 is: 2,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.94 : 2,521.98 = 1,632.17 : x
  2. Step 2: Convert to fraction form
    1,690.94/2,521.98 = 1,632.17/x
  3. Step 3: Cross multiply
    1,690.94x = 2,521.98 × 1,632.17
  4. Step 4: Simplify right side
    1,690.94x = 4,116,306.40
  5. Step 5: Solve for x
    x = 4,116,306.40/1,690.94
  6. Step 6: Final answer
    x = 2,434.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.