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Finding the Fourth Proportional to 4,430.39, 6,646.03 and 1,965.76

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Solution

The fourth proportional to 4,430.39, 6,646.03 and 1,965.76 is: 2,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.39 : 6,646.03 = 1,965.76 : x
  2. Step 2: Convert to fraction form
    4,430.39/6,646.03 = 1,965.76/x
  3. Step 3: Cross multiply
    4,430.39x = 6,646.03 × 1,965.76
  4. Step 4: Simplify right side
    4,430.39x = 13,064,466.70
  5. Step 5: Solve for x
    x = 13,064,466.70/4,430.39
  6. Step 6: Final answer
    x = 2,948.83

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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.