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Finding the Fourth Proportional to 2,655.62, 3,664.83 and 1,536.45

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Solution

The fourth proportional to 2,655.62, 3,664.83 and 1,536.45 is: 2,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.62 : 3,664.83 = 1,536.45 : x
  2. Step 2: Convert to fraction form
    2,655.62/3,664.83 = 1,536.45/x
  3. Step 3: Cross multiply
    2,655.62x = 3,664.83 × 1,536.45
  4. Step 4: Simplify right side
    2,655.62x = 5,630,828.05
  5. Step 5: Solve for x
    x = 5,630,828.05/2,655.62
  6. Step 6: Final answer
    x = 2,120.35

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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.