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Finding the Fourth Proportional to 2,039.55, 3,056.55 and 1,063.63

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Solution

The fourth proportional to 2,039.55, 3,056.55 and 1,063.63 is: 1,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.55 : 3,056.55 = 1,063.63 : x
  2. Step 2: Convert to fraction form
    2,039.55/3,056.55 = 1,063.63/x
  3. Step 3: Cross multiply
    2,039.55x = 3,056.55 × 1,063.63
  4. Step 4: Simplify right side
    2,039.55x = 3,251,038.28
  5. Step 5: Solve for x
    x = 3,251,038.28/2,039.55
  6. Step 6: Final answer
    x = 1,594.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.