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Finding the Fourth Proportional to 2,582.04, 3,563.19 and 1,403.04

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Solution

The fourth proportional to 2,582.04, 3,563.19 and 1,403.04 is: 1,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.04 : 3,563.19 = 1,403.04 : x
  2. Step 2: Convert to fraction form
    2,582.04/3,563.19 = 1,403.04/x
  3. Step 3: Cross multiply
    2,582.04x = 3,563.19 × 1,403.04
  4. Step 4: Simplify right side
    2,582.04x = 4,999,298.10
  5. Step 5: Solve for x
    x = 4,999,298.10/2,582.04
  6. Step 6: Final answer
    x = 1,936.18

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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.