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Finding the Fourth Proportional to 2,895.24, 4,342.82 and 703.98

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Solution

The fourth proportional to 2,895.24, 4,342.82 and 703.98 is: 1,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.24 : 4,342.82 = 703.98 : x
  2. Step 2: Convert to fraction form
    2,895.24/4,342.82 = 703.98/x
  3. Step 3: Cross multiply
    2,895.24x = 4,342.82 × 703.98
  4. Step 4: Simplify right side
    2,895.24x = 3,057,258.42
  5. Step 5: Solve for x
    x = 3,057,258.42/2,895.24
  6. Step 6: Final answer
    x = 1,055.96

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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.