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Finding the Fourth Proportional to 1,508.79, 2,082.40 and 1,011.50

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Solution

The fourth proportional to 1,508.79, 2,082.40 and 1,011.50 is: 1,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.79 : 2,082.40 = 1,011.50 : x
  2. Step 2: Convert to fraction form
    1,508.79/2,082.40 = 1,011.50/x
  3. Step 3: Cross multiply
    1,508.79x = 2,082.40 × 1,011.50
  4. Step 4: Simplify right side
    1,508.79x = 2,106,334.66
  5. Step 5: Solve for x
    x = 2,106,334.66/1,508.79
  6. Step 6: Final answer
    x = 1,396.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.