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Finding the Fourth Proportional to 2,953.72, 4,430.70 and 1,309.96

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Solution

The fourth proportional to 2,953.72, 4,430.70 and 1,309.96 is: 1,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.72 : 4,430.70 = 1,309.96 : x
  2. Step 2: Convert to fraction form
    2,953.72/4,430.70 = 1,309.96/x
  3. Step 3: Cross multiply
    2,953.72x = 4,430.70 × 1,309.96
  4. Step 4: Simplify right side
    2,953.72x = 5,804,039.77
  5. Step 5: Solve for x
    x = 5,804,039.77/2,953.72
  6. Step 6: Final answer
    x = 1,964.99

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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.