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Finding the Fourth Proportional to 3,059.70, 4,587.50 and 1,111.65

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Solution

The fourth proportional to 3,059.70, 4,587.50 and 1,111.65 is: 1,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.70 : 4,587.50 = 1,111.65 : x
  2. Step 2: Convert to fraction form
    3,059.70/4,587.50 = 1,111.65/x
  3. Step 3: Cross multiply
    3,059.70x = 4,587.50 × 1,111.65
  4. Step 4: Simplify right side
    3,059.70x = 5,099,688.82
  5. Step 5: Solve for x
    x = 5,099,688.82/3,059.70
  6. Step 6: Final answer
    x = 1,666.73

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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.