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Finding the Fourth Proportional to 2,090.12, 3,129.71 and 1,470.47

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Solution

The fourth proportional to 2,090.12, 3,129.71 and 1,470.47 is: 2,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.12 : 3,129.71 = 1,470.47 : x
  2. Step 2: Convert to fraction form
    2,090.12/3,129.71 = 1,470.47/x
  3. Step 3: Cross multiply
    2,090.12x = 3,129.71 × 1,470.47
  4. Step 4: Simplify right side
    2,090.12x = 4,602,121.66
  5. Step 5: Solve for x
    x = 4,602,121.66/2,090.12
  6. Step 6: Final answer
    x = 2,201.85

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