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Finding the Fourth Proportional to 2,895.96, 4,343.67 and 948.18

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Solution

The fourth proportional to 2,895.96, 4,343.67 and 948.18 is: 1,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.96 : 4,343.67 = 948.18 : x
  2. Step 2: Convert to fraction form
    2,895.96/4,343.67 = 948.18/x
  3. Step 3: Cross multiply
    2,895.96x = 4,343.67 × 948.18
  4. Step 4: Simplify right side
    2,895.96x = 4,118,581.02
  5. Step 5: Solve for x
    x = 4,118,581.02/2,895.96
  6. Step 6: Final answer
    x = 1,422.18

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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.