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Finding the Fourth Proportional to 1,852.80, 2,544.33 and 1,557.57

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Solution

The fourth proportional to 1,852.80, 2,544.33 and 1,557.57 is: 2,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.80 : 2,544.33 = 1,557.57 : x
  2. Step 2: Convert to fraction form
    1,852.80/2,544.33 = 1,557.57/x
  3. Step 3: Cross multiply
    1,852.80x = 2,544.33 × 1,557.57
  4. Step 4: Simplify right side
    1,852.80x = 3,962,972.08
  5. Step 5: Solve for x
    x = 3,962,972.08/1,852.80
  6. Step 6: Final answer
    x = 2,138.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.