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Finding the Fourth Proportional to 2,276.48, 3,415.11 and 1,044.00

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Solution

The fourth proportional to 2,276.48, 3,415.11 and 1,044.00 is: 1,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.48 : 3,415.11 = 1,044.00 : x
  2. Step 2: Convert to fraction form
    2,276.48/3,415.11 = 1,044.00/x
  3. Step 3: Cross multiply
    2,276.48x = 3,415.11 × 1,044.00
  4. Step 4: Simplify right side
    2,276.48x = 3,565,357.76
  5. Step 5: Solve for x
    x = 3,565,357.76/2,276.48
  6. Step 6: Final answer
    x = 1,566.17

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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.