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Finding the Fourth Proportional to 2,195.70, 3,029.76 and 1,410.81

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Solution

The fourth proportional to 2,195.70, 3,029.76 and 1,410.81 is: 1,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.70 : 3,029.76 = 1,410.81 : x
  2. Step 2: Convert to fraction form
    2,195.70/3,029.76 = 1,410.81/x
  3. Step 3: Cross multiply
    2,195.70x = 3,029.76 × 1,410.81
  4. Step 4: Simplify right side
    2,195.70x = 4,274,415.71
  5. Step 5: Solve for x
    x = 4,274,415.71/2,195.70
  6. Step 6: Final answer
    x = 1,946.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.