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Finding the Fourth Proportional to 2,345.45, 3,536.18 and 2,186.82

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Solution

The fourth proportional to 2,345.45, 3,536.18 and 2,186.82 is: 3,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.45 : 3,536.18 = 2,186.82 : x
  2. Step 2: Convert to fraction form
    2,345.45/3,536.18 = 2,186.82/x
  3. Step 3: Cross multiply
    2,345.45x = 3,536.18 × 2,186.82
  4. Step 4: Simplify right side
    2,345.45x = 7,732,978.21
  5. Step 5: Solve for x
    x = 7,732,978.21/2,345.45
  6. Step 6: Final answer
    x = 3,297.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.