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Finding the Fourth Proportional to 2,582.03, 3,563.15 and 1,403.12

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Solution

The fourth proportional to 2,582.03, 3,563.15 and 1,403.12 is: 1,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.03 : 3,563.15 = 1,403.12 : x
  2. Step 2: Convert to fraction form
    2,582.03/3,563.15 = 1,403.12/x
  3. Step 3: Cross multiply
    2,582.03x = 3,563.15 × 1,403.12
  4. Step 4: Simplify right side
    2,582.03x = 4,999,512.72
  5. Step 5: Solve for x
    x = 4,999,512.72/2,582.03
  6. Step 6: Final answer
    x = 1,936.28

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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.