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Finding the Fourth Proportional to 1,849.79, 2,758.63 and 1,577.63

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Solution

The fourth proportional to 1,849.79, 2,758.63 and 1,577.63 is: 2,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.79 : 2,758.63 = 1,577.63 : x
  2. Step 2: Convert to fraction form
    1,849.79/2,758.63 = 1,577.63/x
  3. Step 3: Cross multiply
    1,849.79x = 2,758.63 × 1,577.63
  4. Step 4: Simplify right side
    1,849.79x = 4,352,097.45
  5. Step 5: Solve for x
    x = 4,352,097.45/1,849.79
  6. Step 6: Final answer
    x = 2,352.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.