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Finding the Fourth Proportional to 4,269.04, 6,404.49 and 1,307.50

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Solution

The fourth proportional to 4,269.04, 6,404.49 and 1,307.50 is: 1,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.04 : 6,404.49 = 1,307.50 : x
  2. Step 2: Convert to fraction form
    4,269.04/6,404.49 = 1,307.50/x
  3. Step 3: Cross multiply
    4,269.04x = 6,404.49 × 1,307.50
  4. Step 4: Simplify right side
    4,269.04x = 8,373,870.68
  5. Step 5: Solve for x
    x = 8,373,870.68/4,269.04
  6. Step 6: Final answer
    x = 1,961.54

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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.