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Finding the Fourth Proportional to 1,689.61, 2,326.28 and 1,490.27

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Solution

The fourth proportional to 1,689.61, 2,326.28 and 1,490.27 is: 2,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.61 : 2,326.28 = 1,490.27 : x
  2. Step 2: Convert to fraction form
    1,689.61/2,326.28 = 1,490.27/x
  3. Step 3: Cross multiply
    1,689.61x = 2,326.28 × 1,490.27
  4. Step 4: Simplify right side
    1,689.61x = 3,466,766.21
  5. Step 5: Solve for x
    x = 3,466,766.21/1,689.61
  6. Step 6: Final answer
    x = 2,051.82

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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.