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Finding the Fourth Proportional to 2,563.86, 3,538.13 and 1,445.07

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Solution

The fourth proportional to 2,563.86, 3,538.13 and 1,445.07 is: 1,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.86 : 3,538.13 = 1,445.07 : x
  2. Step 2: Convert to fraction form
    2,563.86/3,538.13 = 1,445.07/x
  3. Step 3: Cross multiply
    2,563.86x = 3,538.13 × 1,445.07
  4. Step 4: Simplify right side
    2,563.86x = 5,112,838.29
  5. Step 5: Solve for x
    x = 5,112,838.29/2,563.86
  6. Step 6: Final answer
    x = 1,994.20

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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.