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Finding the Fourth Proportional to 2,285.91, 3,155.90 and 1,501.34

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Solution

The fourth proportional to 2,285.91, 3,155.90 and 1,501.34 is: 2,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.91 : 3,155.90 = 1,501.34 : x
  2. Step 2: Convert to fraction form
    2,285.91/3,155.90 = 1,501.34/x
  3. Step 3: Cross multiply
    2,285.91x = 3,155.90 × 1,501.34
  4. Step 4: Simplify right side
    2,285.91x = 4,738,055.62
  5. Step 5: Solve for x
    x = 4,738,055.62/2,285.91
  6. Step 6: Final answer
    x = 2,072.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.