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Finding the Fourth Proportional to 2,860.66, 3,946.55 and 1,740.70

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Solution

The fourth proportional to 2,860.66, 3,946.55 and 1,740.70 is: 2,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.66 : 3,946.55 = 1,740.70 : x
  2. Step 2: Convert to fraction form
    2,860.66/3,946.55 = 1,740.70/x
  3. Step 3: Cross multiply
    2,860.66x = 3,946.55 × 1,740.70
  4. Step 4: Simplify right side
    2,860.66x = 6,869,759.59
  5. Step 5: Solve for x
    x = 6,869,759.59/2,860.66
  6. Step 6: Final answer
    x = 2,401.46

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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.