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Finding the Fourth Proportional to 2,686.91, 4,029.59 and 1,043.10

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Solution

The fourth proportional to 2,686.91, 4,029.59 and 1,043.10 is: 1,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.91 : 4,029.59 = 1,043.10 : x
  2. Step 2: Convert to fraction form
    2,686.91/4,029.59 = 1,043.10/x
  3. Step 3: Cross multiply
    2,686.91x = 4,029.59 × 1,043.10
  4. Step 4: Simplify right side
    2,686.91x = 4,203,267.94
  5. Step 5: Solve for x
    x = 4,203,267.94/2,686.91
  6. Step 6: Final answer
    x = 1,564.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.