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Finding the Fourth Proportional to 2,701.71, 4,050.95 and 1,056.30

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Solution

The fourth proportional to 2,701.71, 4,050.95 and 1,056.30 is: 1,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.71 : 4,050.95 = 1,056.30 : x
  2. Step 2: Convert to fraction form
    2,701.71/4,050.95 = 1,056.30/x
  3. Step 3: Cross multiply
    2,701.71x = 4,050.95 × 1,056.30
  4. Step 4: Simplify right side
    2,701.71x = 4,279,018.49
  5. Step 5: Solve for x
    x = 4,279,018.49/2,701.71
  6. Step 6: Final answer
    x = 1,583.82

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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.