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Finding the Fourth Proportional to 2,101.70, 3,152.55 and 1,892.90

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Solution

The fourth proportional to 2,101.70, 3,152.55 and 1,892.90 is: 2,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.70 : 3,152.55 = 1,892.90 : x
  2. Step 2: Convert to fraction form
    2,101.70/3,152.55 = 1,892.90/x
  3. Step 3: Cross multiply
    2,101.70x = 3,152.55 × 1,892.90
  4. Step 4: Simplify right side
    2,101.70x = 5,967,461.90
  5. Step 5: Solve for x
    x = 5,967,461.90/2,101.70
  6. Step 6: Final answer
    x = 2,839.35

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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.