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Finding the Fourth Proportional to 2,948.42, 4,419.86 and 999.27

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Solution

The fourth proportional to 2,948.42, 4,419.86 and 999.27 is: 1,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.42 : 4,419.86 = 999.27 : x
  2. Step 2: Convert to fraction form
    2,948.42/4,419.86 = 999.27/x
  3. Step 3: Cross multiply
    2,948.42x = 4,419.86 × 999.27
  4. Step 4: Simplify right side
    2,948.42x = 4,416,628.51
  5. Step 5: Solve for x
    x = 4,416,628.51/2,948.42
  6. Step 6: Final answer
    x = 1,497.97

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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.