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Finding the Fourth Proportional to 2,596.86, 3,583.04 and 1,602.18

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Solution

The fourth proportional to 2,596.86, 3,583.04 and 1,602.18 is: 2,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.86 : 3,583.04 = 1,602.18 : x
  2. Step 2: Convert to fraction form
    2,596.86/3,583.04 = 1,602.18/x
  3. Step 3: Cross multiply
    2,596.86x = 3,583.04 × 1,602.18
  4. Step 4: Simplify right side
    2,596.86x = 5,740,667.02
  5. Step 5: Solve for x
    x = 5,740,667.02/2,596.86
  6. Step 6: Final answer
    x = 2,210.62

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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.