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Finding the Fourth Proportional to 2,701.56, 4,050.71 and 1,056.14

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Solution

The fourth proportional to 2,701.56, 4,050.71 and 1,056.14 is: 1,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.56 : 4,050.71 = 1,056.14 : x
  2. Step 2: Convert to fraction form
    2,701.56/4,050.71 = 1,056.14/x
  3. Step 3: Cross multiply
    2,701.56x = 4,050.71 × 1,056.14
  4. Step 4: Simplify right side
    2,701.56x = 4,278,129.63
  5. Step 5: Solve for x
    x = 4,278,129.63/2,701.56
  6. Step 6: Final answer
    x = 1,583.58

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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.