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Finding the Fourth Proportional to 1,959.53, 2,939.28 and 498.67

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Solution

The fourth proportional to 1,959.53, 2,939.28 and 498.67 is: 748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.53 : 2,939.28 = 498.67 : x
  2. Step 2: Convert to fraction form
    1,959.53/2,939.28 = 498.67/x
  3. Step 3: Cross multiply
    1,959.53x = 2,939.28 × 498.67
  4. Step 4: Simplify right side
    1,959.53x = 1,465,730.76
  5. Step 5: Solve for x
    x = 1,465,730.76/1,959.53
  6. Step 6: Final answer
    x = 748.00

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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.