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Finding the Fourth Proportional to 2,276.81, 3,415.20 and 1,302.22

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Solution

The fourth proportional to 2,276.81, 3,415.20 and 1,302.22 is: 1,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.81 : 3,415.20 = 1,302.22 : x
  2. Step 2: Convert to fraction form
    2,276.81/3,415.20 = 1,302.22/x
  3. Step 3: Cross multiply
    2,276.81x = 3,415.20 × 1,302.22
  4. Step 4: Simplify right side
    2,276.81x = 4,447,341.74
  5. Step 5: Solve for x
    x = 4,447,341.74/2,276.81
  6. Step 6: Final answer
    x = 1,953.32

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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.