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Finding the Fourth Proportional to 2,866.23, 4,300.16 and 1,480.32

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Solution

The fourth proportional to 2,866.23, 4,300.16 and 1,480.32 is: 2,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.23 : 4,300.16 = 1,480.32 : x
  2. Step 2: Convert to fraction form
    2,866.23/4,300.16 = 1,480.32/x
  3. Step 3: Cross multiply
    2,866.23x = 4,300.16 × 1,480.32
  4. Step 4: Simplify right side
    2,866.23x = 6,365,605.45
  5. Step 5: Solve for x
    x = 6,365,605.45/2,866.23
  6. Step 6: Final answer
    x = 2,220.90

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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.