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Finding the Fourth Proportional to 2,276.75, 3,415.10 and 1,026.66

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Solution

The fourth proportional to 2,276.75, 3,415.10 and 1,026.66 is: 1,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.75 : 3,415.10 = 1,026.66 : x
  2. Step 2: Convert to fraction form
    2,276.75/3,415.10 = 1,026.66/x
  3. Step 3: Cross multiply
    2,276.75x = 3,415.10 × 1,026.66
  4. Step 4: Simplify right side
    2,276.75x = 3,506,154.24
  5. Step 5: Solve for x
    x = 3,506,154.24/2,276.75
  6. Step 6: Final answer
    x = 1,539.98

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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.