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Finding the Fourth Proportional to 2,596.08, 3,891.96 and 1,058.16

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Solution

The fourth proportional to 2,596.08, 3,891.96 and 1,058.16 is: 1,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.08 : 3,891.96 = 1,058.16 : x
  2. Step 2: Convert to fraction form
    2,596.08/3,891.96 = 1,058.16/x
  3. Step 3: Cross multiply
    2,596.08x = 3,891.96 × 1,058.16
  4. Step 4: Simplify right side
    2,596.08x = 4,118,316.39
  5. Step 5: Solve for x
    x = 4,118,316.39/2,596.08
  6. Step 6: Final answer
    x = 1,586.36

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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.