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Finding the Fourth Proportional to 2,860.65, 4,284 and 1,980.81

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Solution

The fourth proportional to 2,860.65, 4,284 and 1,980.81 is: 2,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.65 : 4,284 = 1,980.81 : x
  2. Step 2: Convert to fraction form
    2,860.65/4,284 = 1,980.81/x
  3. Step 3: Cross multiply
    2,860.65x = 4,284 × 1,980.81
  4. Step 4: Simplify right side
    2,860.65x = 8,485,790.04
  5. Step 5: Solve for x
    x = 8,485,790.04/2,860.65
  6. Step 6: Final answer
    x = 2,966.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.