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Finding the Fourth Proportional to 2,948.90, 4,416.81 and 1,713.24

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Solution

The fourth proportional to 2,948.90, 4,416.81 and 1,713.24 is: 2,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.90 : 4,416.81 = 1,713.24 : x
  2. Step 2: Convert to fraction form
    2,948.90/4,416.81 = 1,713.24/x
  3. Step 3: Cross multiply
    2,948.90x = 4,416.81 × 1,713.24
  4. Step 4: Simplify right side
    2,948.90x = 7,567,055.56
  5. Step 5: Solve for x
    x = 7,567,055.56/2,948.90
  6. Step 6: Final answer
    x = 2,566.06

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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.