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Finding the Fourth Proportional to 2,030.69, 2,802.52 and 1,614.48

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Solution

The fourth proportional to 2,030.69, 2,802.52 and 1,614.48 is: 2,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.69 : 2,802.52 = 1,614.48 : x
  2. Step 2: Convert to fraction form
    2,030.69/2,802.52 = 1,614.48/x
  3. Step 3: Cross multiply
    2,030.69x = 2,802.52 × 1,614.48
  4. Step 4: Simplify right side
    2,030.69x = 4,524,611.48
  5. Step 5: Solve for x
    x = 4,524,611.48/2,030.69
  6. Step 6: Final answer
    x = 2,228.11

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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.