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Finding the Fourth Proportional to 2,307.61, 3,463.38 and 921.93

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Solution

The fourth proportional to 2,307.61, 3,463.38 and 921.93 is: 1,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.61 : 3,463.38 = 921.93 : x
  2. Step 2: Convert to fraction form
    2,307.61/3,463.38 = 921.93/x
  3. Step 3: Cross multiply
    2,307.61x = 3,463.38 × 921.93
  4. Step 4: Simplify right side
    2,307.61x = 3,192,976.61
  5. Step 5: Solve for x
    x = 3,192,976.61/2,307.61
  6. Step 6: Final answer
    x = 1,383.67

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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.