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Finding the Fourth Proportional to 3,016.53, 4,162.53 and 1,690.05

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Solution

The fourth proportional to 3,016.53, 4,162.53 and 1,690.05 is: 2,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.53 : 4,162.53 = 1,690.05 : x
  2. Step 2: Convert to fraction form
    3,016.53/4,162.53 = 1,690.05/x
  3. Step 3: Cross multiply
    3,016.53x = 4,162.53 × 1,690.05
  4. Step 4: Simplify right side
    3,016.53x = 7,034,883.83
  5. Step 5: Solve for x
    x = 7,034,883.83/3,016.53
  6. Step 6: Final answer
    x = 2,332.11

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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.