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Finding the Fourth Proportional to 2,678.84, 4,014.61 and 1,703.19

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Solution

The fourth proportional to 2,678.84, 4,014.61 and 1,703.19 is: 2,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.84 : 4,014.61 = 1,703.19 : x
  2. Step 2: Convert to fraction form
    2,678.84/4,014.61 = 1,703.19/x
  3. Step 3: Cross multiply
    2,678.84x = 4,014.61 × 1,703.19
  4. Step 4: Simplify right side
    2,678.84x = 6,837,654.40
  5. Step 5: Solve for x
    x = 6,837,654.40/2,678.84
  6. Step 6: Final answer
    x = 2,552.47

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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.