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Finding the Fourth Proportional to 2,309.44, 3,465.02 and 1,385.66

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Solution

The fourth proportional to 2,309.44, 3,465.02 and 1,385.66 is: 2,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.44 : 3,465.02 = 1,385.66 : x
  2. Step 2: Convert to fraction form
    2,309.44/3,465.02 = 1,385.66/x
  3. Step 3: Cross multiply
    2,309.44x = 3,465.02 × 1,385.66
  4. Step 4: Simplify right side
    2,309.44x = 4,801,322.51
  5. Step 5: Solve for x
    x = 4,801,322.51/2,309.44
  6. Step 6: Final answer
    x = 2,079.00

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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.