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Finding the Fourth Proportional to 2,276.14, 3,415.02 and 1,043.86

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Solution

The fourth proportional to 2,276.14, 3,415.02 and 1,043.86 is: 1,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.14 : 3,415.02 = 1,043.86 : x
  2. Step 2: Convert to fraction form
    2,276.14/3,415.02 = 1,043.86/x
  3. Step 3: Cross multiply
    2,276.14x = 3,415.02 × 1,043.86
  4. Step 4: Simplify right side
    2,276.14x = 3,564,802.78
  5. Step 5: Solve for x
    x = 3,564,802.78/2,276.14
  6. Step 6: Final answer
    x = 1,566.16

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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.