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Finding the Fourth Proportional to 2,583.01, 3,564.50 and 1,463.93

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Solution

The fourth proportional to 2,583.01, 3,564.50 and 1,463.93 is: 2,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.01 : 3,564.50 = 1,463.93 : x
  2. Step 2: Convert to fraction form
    2,583.01/3,564.50 = 1,463.93/x
  3. Step 3: Cross multiply
    2,583.01x = 3,564.50 × 1,463.93
  4. Step 4: Simplify right side
    2,583.01x = 5,218,178.49
  5. Step 5: Solve for x
    x = 5,218,178.49/2,583.01
  6. Step 6: Final answer
    x = 2,020.19

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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.