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Finding the Fourth Proportional to 2,705.38, 4,054.62 and 1,534.52

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Solution

The fourth proportional to 2,705.38, 4,054.62 and 1,534.52 is: 2,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.38 : 4,054.62 = 1,534.52 : x
  2. Step 2: Convert to fraction form
    2,705.38/4,054.62 = 1,534.52/x
  3. Step 3: Cross multiply
    2,705.38x = 4,054.62 × 1,534.52
  4. Step 4: Simplify right side
    2,705.38x = 6,221,895.48
  5. Step 5: Solve for x
    x = 6,221,895.48/2,705.38
  6. Step 6: Final answer
    x = 2,299.82

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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.