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Finding the Fourth Proportional to 1,655.59, 2,482.53 and 996.86

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Solution

The fourth proportional to 1,655.59, 2,482.53 and 996.86 is: 1,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.59 : 2,482.53 = 996.86 : x
  2. Step 2: Convert to fraction form
    1,655.59/2,482.53 = 996.86/x
  3. Step 3: Cross multiply
    1,655.59x = 2,482.53 × 996.86
  4. Step 4: Simplify right side
    1,655.59x = 2,474,734.86
  5. Step 5: Solve for x
    x = 2,474,734.86/1,655.59
  6. Step 6: Final answer
    x = 1,494.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.