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Finding the Fourth Proportional to 1,694.70, 2,339.06 and 1,031.77

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Solution

The fourth proportional to 1,694.70, 2,339.06 and 1,031.77 is: 1,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.70 : 2,339.06 = 1,031.77 : x
  2. Step 2: Convert to fraction form
    1,694.70/2,339.06 = 1,031.77/x
  3. Step 3: Cross multiply
    1,694.70x = 2,339.06 × 1,031.77
  4. Step 4: Simplify right side
    1,694.70x = 2,413,371.94
  5. Step 5: Solve for x
    x = 2,413,371.94/1,694.70
  6. Step 6: Final answer
    x = 1,424.07

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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.