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Finding the Fourth Proportional to 2,866.74, 4,300.12 and 1,771.50

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Solution

The fourth proportional to 2,866.74, 4,300.12 and 1,771.50 is: 2,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.74 : 4,300.12 = 1,771.50 : x
  2. Step 2: Convert to fraction form
    2,866.74/4,300.12 = 1,771.50/x
  3. Step 3: Cross multiply
    2,866.74x = 4,300.12 × 1,771.50
  4. Step 4: Simplify right side
    2,866.74x = 7,617,662.58
  5. Step 5: Solve for x
    x = 7,617,662.58/2,866.74
  6. Step 6: Final answer
    x = 2,657.26

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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.