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Finding the Fourth Proportional to 2,948.21, 4,422.74 and 999.75

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Solution

The fourth proportional to 2,948.21, 4,422.74 and 999.75 is: 1,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.21 : 4,422.74 = 999.75 : x
  2. Step 2: Convert to fraction form
    2,948.21/4,422.74 = 999.75/x
  3. Step 3: Cross multiply
    2,948.21x = 4,422.74 × 999.75
  4. Step 4: Simplify right side
    2,948.21x = 4,421,629.32
  5. Step 5: Solve for x
    x = 4,421,629.32/2,948.21
  6. Step 6: Final answer
    x = 1,499.77

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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.