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Finding the Fourth Proportional to 2,992.59, 4,129.74 and 1,666.44

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Solution

The fourth proportional to 2,992.59, 4,129.74 and 1,666.44 is: 2,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.59 : 4,129.74 = 1,666.44 : x
  2. Step 2: Convert to fraction form
    2,992.59/4,129.74 = 1,666.44/x
  3. Step 3: Cross multiply
    2,992.59x = 4,129.74 × 1,666.44
  4. Step 4: Simplify right side
    2,992.59x = 6,881,963.93
  5. Step 5: Solve for x
    x = 6,881,963.93/2,992.59
  6. Step 6: Final answer
    x = 2,299.67

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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.