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Finding the Fourth Proportional to 2,054.84, 2,834.96 and 1,582.88

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Solution

The fourth proportional to 2,054.84, 2,834.96 and 1,582.88 is: 2,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.84 : 2,834.96 = 1,582.88 : x
  2. Step 2: Convert to fraction form
    2,054.84/2,834.96 = 1,582.88/x
  3. Step 3: Cross multiply
    2,054.84x = 2,834.96 × 1,582.88
  4. Step 4: Simplify right side
    2,054.84x = 4,487,401.48
  5. Step 5: Solve for x
    x = 4,487,401.48/2,054.84
  6. Step 6: Final answer
    x = 2,183.82

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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.