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Finding the Fourth Proportional to 2,356.61, 3,249.77 and 2,002.14

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Solution

The fourth proportional to 2,356.61, 3,249.77 and 2,002.14 is: 2,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.61 : 3,249.77 = 2,002.14 : x
  2. Step 2: Convert to fraction form
    2,356.61/3,249.77 = 2,002.14/x
  3. Step 3: Cross multiply
    2,356.61x = 3,249.77 × 2,002.14
  4. Step 4: Simplify right side
    2,356.61x = 6,506,484.50
  5. Step 5: Solve for x
    x = 6,506,484.50/2,356.61
  6. Step 6: Final answer
    x = 2,760.96

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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.