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Finding the Fourth Proportional to 2,276.53, 3,415.14 and 1,044.06

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Solution

The fourth proportional to 2,276.53, 3,415.14 and 1,044.06 is: 1,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.53 : 3,415.14 = 1,044.06 : x
  2. Step 2: Convert to fraction form
    2,276.53/3,415.14 = 1,044.06/x
  3. Step 3: Cross multiply
    2,276.53x = 3,415.14 × 1,044.06
  4. Step 4: Simplify right side
    2,276.53x = 3,565,624.14
  5. Step 5: Solve for x
    x = 3,565,624.14/2,276.53
  6. Step 6: Final answer
    x = 1,566.25

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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.