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Finding the Fourth Proportional to 2,297.40, 3,170.49 and 1,302.66

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Solution

The fourth proportional to 2,297.40, 3,170.49 and 1,302.66 is: 1,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.40 : 3,170.49 = 1,302.66 : x
  2. Step 2: Convert to fraction form
    2,297.40/3,170.49 = 1,302.66/x
  3. Step 3: Cross multiply
    2,297.40x = 3,170.49 × 1,302.66
  4. Step 4: Simplify right side
    2,297.40x = 4,130,070.50
  5. Step 5: Solve for x
    x = 4,130,070.50/2,297.40
  6. Step 6: Final answer
    x = 1,797.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.