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Finding the Fourth Proportional to 1,857.12, 2,564.16 and 1,393.92

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Solution

The fourth proportional to 1,857.12, 2,564.16 and 1,393.92 is: 1,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.12 : 2,564.16 = 1,393.92 : x
  2. Step 2: Convert to fraction form
    1,857.12/2,564.16 = 1,393.92/x
  3. Step 3: Cross multiply
    1,857.12x = 2,564.16 × 1,393.92
  4. Step 4: Simplify right side
    1,857.12x = 3,574,233.91
  5. Step 5: Solve for x
    x = 3,574,233.91/1,857.12
  6. Step 6: Final answer
    x = 1,924.61

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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.