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Finding the Fourth Proportional to 2,703.40, 4,049.70 and 1,547.80

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Solution

The fourth proportional to 2,703.40, 4,049.70 and 1,547.80 is: 2,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.40 : 4,049.70 = 1,547.80 : x
  2. Step 2: Convert to fraction form
    2,703.40/4,049.70 = 1,547.80/x
  3. Step 3: Cross multiply
    2,703.40x = 4,049.70 × 1,547.80
  4. Step 4: Simplify right side
    2,703.40x = 6,268,125.66
  5. Step 5: Solve for x
    x = 6,268,125.66/2,703.40
  6. Step 6: Final answer
    x = 2,318.61

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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.