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Finding the Fourth Proportional to 1,866.72, 2,802.56 and 1,594.56

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Solution

The fourth proportional to 1,866.72, 2,802.56 and 1,594.56 is: 2,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.72 : 2,802.56 = 1,594.56 : x
  2. Step 2: Convert to fraction form
    1,866.72/2,802.56 = 1,594.56/x
  3. Step 3: Cross multiply
    1,866.72x = 2,802.56 × 1,594.56
  4. Step 4: Simplify right side
    1,866.72x = 4,468,850.07
  5. Step 5: Solve for x
    x = 4,468,850.07/1,866.72
  6. Step 6: Final answer
    x = 2,393.96

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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.