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Finding the Fourth Proportional to 2,300.84, 3,175.22 and 1,306.16

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Solution

The fourth proportional to 2,300.84, 3,175.22 and 1,306.16 is: 1,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.84 : 3,175.22 = 1,306.16 : x
  2. Step 2: Convert to fraction form
    2,300.84/3,175.22 = 1,306.16/x
  3. Step 3: Cross multiply
    2,300.84x = 3,175.22 × 1,306.16
  4. Step 4: Simplify right side
    2,300.84x = 4,147,322.95
  5. Step 5: Solve for x
    x = 4,147,322.95/2,300.84
  6. Step 6: Final answer
    x = 1,802.53

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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.