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Finding the Fourth Proportional to 1,886.40, 2,824.02 and 1,401.60

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Solution

The fourth proportional to 1,886.40, 2,824.02 and 1,401.60 is: 2,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.40 : 2,824.02 = 1,401.60 : x
  2. Step 2: Convert to fraction form
    1,886.40/2,824.02 = 1,401.60/x
  3. Step 3: Cross multiply
    1,886.40x = 2,824.02 × 1,401.60
  4. Step 4: Simplify right side
    1,886.40x = 3,958,146.43
  5. Step 5: Solve for x
    x = 3,958,146.43/1,886.40
  6. Step 6: Final answer
    x = 2,098.25

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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.