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Finding the Fourth Proportional to 1,853.69, 2,775.06 and 1,441.40

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Solution

The fourth proportional to 1,853.69, 2,775.06 and 1,441.40 is: 2,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.69 : 2,775.06 = 1,441.40 : x
  2. Step 2: Convert to fraction form
    1,853.69/2,775.06 = 1,441.40/x
  3. Step 3: Cross multiply
    1,853.69x = 2,775.06 × 1,441.40
  4. Step 4: Simplify right side
    1,853.69x = 3,999,957.61
  5. Step 5: Solve for x
    x = 3,999,957.61/1,853.69
  6. Step 6: Final answer
    x = 2,157.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.