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Finding the Fourth Proportional to 2,948.64, 4,420.22 and 999.51

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Solution

The fourth proportional to 2,948.64, 4,420.22 and 999.51 is: 1,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.64 : 4,420.22 = 999.51 : x
  2. Step 2: Convert to fraction form
    2,948.64/4,420.22 = 999.51/x
  3. Step 3: Cross multiply
    2,948.64x = 4,420.22 × 999.51
  4. Step 4: Simplify right side
    2,948.64x = 4,418,049.09
  5. Step 5: Solve for x
    x = 4,418,049.09/2,948.64
  6. Step 6: Final answer
    x = 1,498.33

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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.