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Finding the Fourth Proportional to 2,992.94, 4,130.05 and 1,666.71

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Solution

The fourth proportional to 2,992.94, 4,130.05 and 1,666.71 is: 2,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.94 : 4,130.05 = 1,666.71 : x
  2. Step 2: Convert to fraction form
    2,992.94/4,130.05 = 1,666.71/x
  3. Step 3: Cross multiply
    2,992.94x = 4,130.05 × 1,666.71
  4. Step 4: Simplify right side
    2,992.94x = 6,883,595.64
  5. Step 5: Solve for x
    x = 6,883,595.64/2,992.94
  6. Step 6: Final answer
    x = 2,299.94

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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.