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Finding the Fourth Proportional to 4,566.50, 6,850.29 and 1,488.50

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Solution

The fourth proportional to 4,566.50, 6,850.29 and 1,488.50 is: 2,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.50 : 6,850.29 = 1,488.50 : x
  2. Step 2: Convert to fraction form
    4,566.50/6,850.29 = 1,488.50/x
  3. Step 3: Cross multiply
    4,566.50x = 6,850.29 × 1,488.50
  4. Step 4: Simplify right side
    4,566.50x = 10,196,656.67
  5. Step 5: Solve for x
    x = 10,196,656.67/4,566.50
  6. Step 6: Final answer
    x = 2,232.93

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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.