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Finding the Fourth Proportional to 2,384.73, 3,575.57 and 999.05

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Solution

The fourth proportional to 2,384.73, 3,575.57 and 999.05 is: 1,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.73 : 3,575.57 = 999.05 : x
  2. Step 2: Convert to fraction form
    2,384.73/3,575.57 = 999.05/x
  3. Step 3: Cross multiply
    2,384.73x = 3,575.57 × 999.05
  4. Step 4: Simplify right side
    2,384.73x = 3,572,150.34
  5. Step 5: Solve for x
    x = 3,572,150.34/2,384.73
  6. Step 6: Final answer
    x = 1,497.93

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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.