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Finding the Fourth Proportional to 2,307.73, 3,463.19 and 921.35

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Solution

The fourth proportional to 2,307.73, 3,463.19 and 921.35 is: 1,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.73 : 3,463.19 = 921.35 : x
  2. Step 2: Convert to fraction form
    2,307.73/3,463.19 = 921.35/x
  3. Step 3: Cross multiply
    2,307.73x = 3,463.19 × 921.35
  4. Step 4: Simplify right side
    2,307.73x = 3,190,810.11
  5. Step 5: Solve for x
    x = 3,190,810.11/2,307.73
  6. Step 6: Final answer
    x = 1,382.66

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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.