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Finding the Fourth Proportional to 2,735.80, 3,775.72 and 1,557.08

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Solution

The fourth proportional to 2,735.80, 3,775.72 and 1,557.08 is: 2,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.80 : 3,775.72 = 1,557.08 : x
  2. Step 2: Convert to fraction form
    2,735.80/3,775.72 = 1,557.08/x
  3. Step 3: Cross multiply
    2,735.80x = 3,775.72 × 1,557.08
  4. Step 4: Simplify right side
    2,735.80x = 5,879,098.10
  5. Step 5: Solve for x
    x = 5,879,098.10/2,735.80
  6. Step 6: Final answer
    x = 2,148.95

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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.