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Finding the Fourth Proportional to 2,569.74, 3,856.23 and 1,339.35

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Solution

The fourth proportional to 2,569.74, 3,856.23 and 1,339.35 is: 2,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.74 : 3,856.23 = 1,339.35 : x
  2. Step 2: Convert to fraction form
    2,569.74/3,856.23 = 1,339.35/x
  3. Step 3: Cross multiply
    2,569.74x = 3,856.23 × 1,339.35
  4. Step 4: Simplify right side
    2,569.74x = 5,164,841.65
  5. Step 5: Solve for x
    x = 5,164,841.65/2,569.74
  6. Step 6: Final answer
    x = 2,009.87

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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.