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Finding the Fourth Proportional to 1,513.77, 2,259.80 and 1,462.47

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Solution

The fourth proportional to 1,513.77, 2,259.80 and 1,462.47 is: 2,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.77 : 2,259.80 = 1,462.47 : x
  2. Step 2: Convert to fraction form
    1,513.77/2,259.80 = 1,462.47/x
  3. Step 3: Cross multiply
    1,513.77x = 2,259.80 × 1,462.47
  4. Step 4: Simplify right side
    1,513.77x = 3,304,889.71
  5. Step 5: Solve for x
    x = 3,304,889.71/1,513.77
  6. Step 6: Final answer
    x = 2,183.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.