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Finding the Fourth Proportional to 1,852.62, 2,557.89 and 1,734.99

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Solution

The fourth proportional to 1,852.62, 2,557.89 and 1,734.99 is: 2,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.62 : 2,557.89 = 1,734.99 : x
  2. Step 2: Convert to fraction form
    1,852.62/2,557.89 = 1,734.99/x
  3. Step 3: Cross multiply
    1,852.62x = 2,557.89 × 1,734.99
  4. Step 4: Simplify right side
    1,852.62x = 4,437,913.57
  5. Step 5: Solve for x
    x = 4,437,913.57/1,852.62
  6. Step 6: Final answer
    x = 2,395.48

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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.