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Finding the Fourth Proportional to 1,857.39, 2,564.07 and 1,194.63

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Solution

The fourth proportional to 1,857.39, 2,564.07 and 1,194.63 is: 1,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.39 : 2,564.07 = 1,194.63 : x
  2. Step 2: Convert to fraction form
    1,857.39/2,564.07 = 1,194.63/x
  3. Step 3: Cross multiply
    1,857.39x = 2,564.07 × 1,194.63
  4. Step 4: Simplify right side
    1,857.39x = 3,063,114.94
  5. Step 5: Solve for x
    x = 3,063,114.94/1,857.39
  6. Step 6: Final answer
    x = 1,649.15

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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.