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Finding the Fourth Proportional to 1,852.52, 2,557.14 and 1,589.48

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Solution

The fourth proportional to 1,852.52, 2,557.14 and 1,589.48 is: 2,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.52 : 2,557.14 = 1,589.48 : x
  2. Step 2: Convert to fraction form
    1,852.52/2,557.14 = 1,589.48/x
  3. Step 3: Cross multiply
    1,852.52x = 2,557.14 × 1,589.48
  4. Step 4: Simplify right side
    1,852.52x = 4,064,522.89
  5. Step 5: Solve for x
    x = 4,064,522.89/1,852.52
  6. Step 6: Final answer
    x = 2,194.05

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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.