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Finding the Fourth Proportional to 2,472.85, 3,412.61 and 1,410.77

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Solution

The fourth proportional to 2,472.85, 3,412.61 and 1,410.77 is: 1,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.85 : 3,412.61 = 1,410.77 : x
  2. Step 2: Convert to fraction form
    2,472.85/3,412.61 = 1,410.77/x
  3. Step 3: Cross multiply
    2,472.85x = 3,412.61 × 1,410.77
  4. Step 4: Simplify right side
    2,472.85x = 4,814,407.81
  5. Step 5: Solve for x
    x = 4,814,407.81/2,472.85
  6. Step 6: Final answer
    x = 1,946.91

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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.