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Finding the Fourth Proportional to 1,872.69, 2,582.80 and 1,648.14

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Solution

The fourth proportional to 1,872.69, 2,582.80 and 1,648.14 is: 2,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.69 : 2,582.80 = 1,648.14 : x
  2. Step 2: Convert to fraction form
    1,872.69/2,582.80 = 1,648.14/x
  3. Step 3: Cross multiply
    1,872.69x = 2,582.80 × 1,648.14
  4. Step 4: Simplify right side
    1,872.69x = 4,256,815.99
  5. Step 5: Solve for x
    x = 4,256,815.99/1,872.69
  6. Step 6: Final answer
    x = 2,273.10

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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.