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Finding the Fourth Proportional to 1,883.97, 2,823.36 and 1,421.34

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Solution

The fourth proportional to 1,883.97, 2,823.36 and 1,421.34 is: 2,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.97 : 2,823.36 = 1,421.34 : x
  2. Step 2: Convert to fraction form
    1,883.97/2,823.36 = 1,421.34/x
  3. Step 3: Cross multiply
    1,883.97x = 2,823.36 × 1,421.34
  4. Step 4: Simplify right side
    1,883.97x = 4,012,954.50
  5. Step 5: Solve for x
    x = 4,012,954.50/1,883.97
  6. Step 6: Final answer
    x = 2,130.05

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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.