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Finding the Fourth Proportional to 4,430.69, 6,646.04 and 1,310.46

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Solution

The fourth proportional to 4,430.69, 6,646.04 and 1,310.46 is: 1,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.69 : 6,646.04 = 1,310.46 : x
  2. Step 2: Convert to fraction form
    4,430.69/6,646.04 = 1,310.46/x
  3. Step 3: Cross multiply
    4,430.69x = 6,646.04 × 1,310.46
  4. Step 4: Simplify right side
    4,430.69x = 8,709,336.35
  5. Step 5: Solve for x
    x = 8,709,336.35/4,430.69
  6. Step 6: Final answer
    x = 1,965.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.