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Finding the Fourth Proportional to 2,582.99, 3,563.93 and 1,463.67

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Solution

The fourth proportional to 2,582.99, 3,563.93 and 1,463.67 is: 2,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.99 : 3,563.93 = 1,463.67 : x
  2. Step 2: Convert to fraction form
    2,582.99/3,563.93 = 1,463.67/x
  3. Step 3: Cross multiply
    2,582.99x = 3,563.93 × 1,463.67
  4. Step 4: Simplify right side
    2,582.99x = 5,216,417.42
  5. Step 5: Solve for x
    x = 5,216,417.42/2,582.99
  6. Step 6: Final answer
    x = 2,019.53

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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.