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Finding the Fourth Proportional to 2,594.63, 3,889.86 and 1,497.71

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Solution

The fourth proportional to 2,594.63, 3,889.86 and 1,497.71 is: 2,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.63 : 3,889.86 = 1,497.71 : x
  2. Step 2: Convert to fraction form
    2,594.63/3,889.86 = 1,497.71/x
  3. Step 3: Cross multiply
    2,594.63x = 3,889.86 × 1,497.71
  4. Step 4: Simplify right side
    2,594.63x = 5,825,862.77
  5. Step 5: Solve for x
    x = 5,825,862.77/2,594.63
  6. Step 6: Final answer
    x = 2,245.36

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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.