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Finding the Fourth Proportional to 2,384.06, 3,574.91 and 996.98

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Solution

The fourth proportional to 2,384.06, 3,574.91 and 996.98 is: 1,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.06 : 3,574.91 = 996.98 : x
  2. Step 2: Convert to fraction form
    2,384.06/3,574.91 = 996.98/x
  3. Step 3: Cross multiply
    2,384.06x = 3,574.91 × 996.98
  4. Step 4: Simplify right side
    2,384.06x = 3,564,113.77
  5. Step 5: Solve for x
    x = 3,564,113.77/2,384.06
  6. Step 6: Final answer
    x = 1,494.98

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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.