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Finding the Fourth Proportional to 1,860.35, 2,569.01 and 1,198.35

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Solution

The fourth proportional to 1,860.35, 2,569.01 and 1,198.35 is: 1,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.35 : 2,569.01 = 1,198.35 : x
  2. Step 2: Convert to fraction form
    1,860.35/2,569.01 = 1,198.35/x
  3. Step 3: Cross multiply
    1,860.35x = 2,569.01 × 1,198.35
  4. Step 4: Simplify right side
    1,860.35x = 3,078,567.14
  5. Step 5: Solve for x
    x = 3,078,567.14/1,860.35
  6. Step 6: Final answer
    x = 1,654.84

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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.