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Finding the Fourth Proportional to 2,860.40, 4,283.40 and 2,730.80

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Solution

The fourth proportional to 2,860.40, 4,283.40 and 2,730.80 is: 4,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.40 : 4,283.40 = 2,730.80 : x
  2. Step 2: Convert to fraction form
    2,860.40/4,283.40 = 2,730.80/x
  3. Step 3: Cross multiply
    2,860.40x = 4,283.40 × 2,730.80
  4. Step 4: Simplify right side
    2,860.40x = 11,697,108.72
  5. Step 5: Solve for x
    x = 11,697,108.72/2,860.40
  6. Step 6: Final answer
    x = 4,089.33

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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.