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Finding the Fourth Proportional to 2,655.92, 3,666.84 and 1,662.56

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Solution

The fourth proportional to 2,655.92, 3,666.84 and 1,662.56 is: 2,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.92 : 3,666.84 = 1,662.56 : x
  2. Step 2: Convert to fraction form
    2,655.92/3,666.84 = 1,662.56/x
  3. Step 3: Cross multiply
    2,655.92x = 3,666.84 × 1,662.56
  4. Step 4: Simplify right side
    2,655.92x = 6,096,341.51
  5. Step 5: Solve for x
    x = 6,096,341.51/2,655.92
  6. Step 6: Final answer
    x = 2,295.38

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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.