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Finding the Fourth Proportional to 2,582.07, 3,563 and 1,462.79

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Solution

The fourth proportional to 2,582.07, 3,563 and 1,462.79 is: 2,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.07 : 3,563 = 1,462.79 : x
  2. Step 2: Convert to fraction form
    2,582.07/3,563 = 1,462.79/x
  3. Step 3: Cross multiply
    2,582.07x = 3,563 × 1,462.79
  4. Step 4: Simplify right side
    2,582.07x = 5,211,920.77
  5. Step 5: Solve for x
    x = 5,211,920.77/2,582.07
  6. Step 6: Final answer
    x = 2,018.50

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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.