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Finding the Fourth Proportional to 2,948.50, 4,064.53 and 1,952.05

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Solution

The fourth proportional to 2,948.50, 4,064.53 and 1,952.05 is: 2,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.50 : 4,064.53 = 1,952.05 : x
  2. Step 2: Convert to fraction form
    2,948.50/4,064.53 = 1,952.05/x
  3. Step 3: Cross multiply
    2,948.50x = 4,064.53 × 1,952.05
  4. Step 4: Simplify right side
    2,948.50x = 7,934,162.03
  5. Step 5: Solve for x
    x = 7,934,162.03/2,948.50
  6. Step 6: Final answer
    x = 2,690.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.