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Finding the Fourth Proportional to 2,307.84, 3,186.12 and 1,523.25

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Solution

The fourth proportional to 2,307.84, 3,186.12 and 1,523.25 is: 2,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.84 : 3,186.12 = 1,523.25 : x
  2. Step 2: Convert to fraction form
    2,307.84/3,186.12 = 1,523.25/x
  3. Step 3: Cross multiply
    2,307.84x = 3,186.12 × 1,523.25
  4. Step 4: Simplify right side
    2,307.84x = 4,853,257.29
  5. Step 5: Solve for x
    x = 4,853,257.29/2,307.84
  6. Step 6: Final answer
    x = 2,102.94

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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.