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Finding the Fourth Proportional to 1,468.14, 2,011.53 and 1,449.92

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Solution

The fourth proportional to 1,468.14, 2,011.53 and 1,449.92 is: 1,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.14 : 2,011.53 = 1,449.92 : x
  2. Step 2: Convert to fraction form
    1,468.14/2,011.53 = 1,449.92/x
  3. Step 3: Cross multiply
    1,468.14x = 2,011.53 × 1,449.92
  4. Step 4: Simplify right side
    1,468.14x = 2,916,547.52
  5. Step 5: Solve for x
    x = 2,916,547.52/1,468.14
  6. Step 6: Final answer
    x = 1,986.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.