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Finding the Fourth Proportional to 2,596.08, 3,573.84 and 2,346.66

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Solution

The fourth proportional to 2,596.08, 3,573.84 and 2,346.66 is: 3,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.08 : 3,573.84 = 2,346.66 : x
  2. Step 2: Convert to fraction form
    2,596.08/3,573.84 = 2,346.66/x
  3. Step 3: Cross multiply
    2,596.08x = 3,573.84 × 2,346.66
  4. Step 4: Simplify right side
    2,596.08x = 8,386,587.37
  5. Step 5: Solve for x
    x = 8,386,587.37/2,596.08
  6. Step 6: Final answer
    x = 3,230.48

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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.