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Finding the Fourth Proportional to 1,416.87, 1,953.75 and 1,192.77

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Solution

The fourth proportional to 1,416.87, 1,953.75 and 1,192.77 is: 1,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.87 : 1,953.75 = 1,192.77 : x
  2. Step 2: Convert to fraction form
    1,416.87/1,953.75 = 1,192.77/x
  3. Step 3: Cross multiply
    1,416.87x = 1,953.75 × 1,192.77
  4. Step 4: Simplify right side
    1,416.87x = 2,330,374.39
  5. Step 5: Solve for x
    x = 2,330,374.39/1,416.87
  6. Step 6: Final answer
    x = 1,644.73

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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.