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Finding the Fourth Proportional to 1,849.75, 2,553 and 1,186.58

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Solution

The fourth proportional to 1,849.75, 2,553 and 1,186.58 is: 1,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.75 : 2,553 = 1,186.58 : x
  2. Step 2: Convert to fraction form
    1,849.75/2,553 = 1,186.58/x
  3. Step 3: Cross multiply
    1,849.75x = 2,553 × 1,186.58
  4. Step 4: Simplify right side
    1,849.75x = 3,029,338.74
  5. Step 5: Solve for x
    x = 3,029,338.74/1,849.75
  6. Step 6: Final answer
    x = 1,637.70

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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.