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Finding the Fourth Proportional to 2,539.84, 3,505.35 and 1,478.23

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Solution

The fourth proportional to 2,539.84, 3,505.35 and 1,478.23 is: 2,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.84 : 3,505.35 = 1,478.23 : x
  2. Step 2: Convert to fraction form
    2,539.84/3,505.35 = 1,478.23/x
  3. Step 3: Cross multiply
    2,539.84x = 3,505.35 × 1,478.23
  4. Step 4: Simplify right side
    2,539.84x = 5,181,713.53
  5. Step 5: Solve for x
    x = 5,181,713.53/2,539.84
  6. Step 6: Final answer
    x = 2,040.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.