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Finding the Fourth Proportional to 2,996.93, 4,135.56 and 1,670.71

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Solution

The fourth proportional to 2,996.93, 4,135.56 and 1,670.71 is: 2,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.93 : 4,135.56 = 1,670.71 : x
  2. Step 2: Convert to fraction form
    2,996.93/4,135.56 = 1,670.71/x
  3. Step 3: Cross multiply
    2,996.93x = 4,135.56 × 1,670.71
  4. Step 4: Simplify right side
    2,996.93x = 6,909,312.60
  5. Step 5: Solve for x
    x = 6,909,312.60/2,996.93
  6. Step 6: Final answer
    x = 2,305.46

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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.