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Finding the Fourth Proportional to 1,784.01, 2,456.35 and 1,468.27

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Solution

The fourth proportional to 1,784.01, 2,456.35 and 1,468.27 is: 2,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.01 : 2,456.35 = 1,468.27 : x
  2. Step 2: Convert to fraction form
    1,784.01/2,456.35 = 1,468.27/x
  3. Step 3: Cross multiply
    1,784.01x = 2,456.35 × 1,468.27
  4. Step 4: Simplify right side
    1,784.01x = 3,606,585.01
  5. Step 5: Solve for x
    x = 3,606,585.01/1,784.01
  6. Step 6: Final answer
    x = 2,021.62

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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.