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Finding the Fourth Proportional to 2,655.96, 3,665.08 and 1,536.94

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Solution

The fourth proportional to 2,655.96, 3,665.08 and 1,536.94 is: 2,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.96 : 3,665.08 = 1,536.94 : x
  2. Step 2: Convert to fraction form
    2,655.96/3,665.08 = 1,536.94/x
  3. Step 3: Cross multiply
    2,655.96x = 3,665.08 × 1,536.94
  4. Step 4: Simplify right side
    2,655.96x = 5,633,008.06
  5. Step 5: Solve for x
    x = 5,633,008.06/2,655.96
  6. Step 6: Final answer
    x = 2,120.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.