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Finding the Fourth Proportional to 2,896.15, 4,342.61 and 948.19

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Solution

The fourth proportional to 2,896.15, 4,342.61 and 948.19 is: 1,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.15 : 4,342.61 = 948.19 : x
  2. Step 2: Convert to fraction form
    2,896.15/4,342.61 = 948.19/x
  3. Step 3: Cross multiply
    2,896.15x = 4,342.61 × 948.19
  4. Step 4: Simplify right side
    2,896.15x = 4,117,614.63
  5. Step 5: Solve for x
    x = 4,117,614.63/2,896.15
  6. Step 6: Final answer
    x = 1,421.75

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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.