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Finding the Fourth Proportional to 3,097.02, 4,273.74 and 1,699.74

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Solution

The fourth proportional to 3,097.02, 4,273.74 and 1,699.74 is: 2,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.02 : 4,273.74 = 1,699.74 : x
  2. Step 2: Convert to fraction form
    3,097.02/4,273.74 = 1,699.74/x
  3. Step 3: Cross multiply
    3,097.02x = 4,273.74 × 1,699.74
  4. Step 4: Simplify right side
    3,097.02x = 7,264,246.83
  5. Step 5: Solve for x
    x = 7,264,246.83/3,097.02
  6. Step 6: Final answer
    x = 2,345.56

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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.