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Finding the Fourth Proportional to 2,082.60, 3,123.90 and 1,944.90

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Solution

The fourth proportional to 2,082.60, 3,123.90 and 1,944.90 is: 2,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.60 : 3,123.90 = 1,944.90 : x
  2. Step 2: Convert to fraction form
    2,082.60/3,123.90 = 1,944.90/x
  3. Step 3: Cross multiply
    2,082.60x = 3,123.90 × 1,944.90
  4. Step 4: Simplify right side
    2,082.60x = 6,075,673.11
  5. Step 5: Solve for x
    x = 6,075,673.11/2,082.60
  6. Step 6: Final answer
    x = 2,917.35

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1.5x scale

Why These Related Problems?

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