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Finding the Fourth Proportional to 2,919.69, 4,029.08 and 1,740.15

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Solution

The fourth proportional to 2,919.69, 4,029.08 and 1,740.15 is: 2,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.69 : 4,029.08 = 1,740.15 : x
  2. Step 2: Convert to fraction form
    2,919.69/4,029.08 = 1,740.15/x
  3. Step 3: Cross multiply
    2,919.69x = 4,029.08 × 1,740.15
  4. Step 4: Simplify right side
    2,919.69x = 7,011,194.86
  5. Step 5: Solve for x
    x = 7,011,194.86/2,919.69
  6. Step 6: Final answer
    x = 2,401.35

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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.