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Finding the Fourth Proportional to 2,895.10, 4,342.61 and 703.83

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Solution

The fourth proportional to 2,895.10, 4,342.61 and 703.83 is: 1,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.10 : 4,342.61 = 703.83 : x
  2. Step 2: Convert to fraction form
    2,895.10/4,342.61 = 703.83/x
  3. Step 3: Cross multiply
    2,895.10x = 4,342.61 × 703.83
  4. Step 4: Simplify right side
    2,895.10x = 3,056,452.81
  5. Step 5: Solve for x
    x = 3,056,452.81/2,895.10
  6. Step 6: Final answer
    x = 1,055.73

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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.