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Finding the Fourth Proportional to 1,884.67, 2,826.93 and 498.01

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Solution

The fourth proportional to 1,884.67, 2,826.93 and 498.01 is: 746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.67 : 2,826.93 = 498.01 : x
  2. Step 2: Convert to fraction form
    1,884.67/2,826.93 = 498.01/x
  3. Step 3: Cross multiply
    1,884.67x = 2,826.93 × 498.01
  4. Step 4: Simplify right side
    1,884.67x = 1,407,831.56
  5. Step 5: Solve for x
    x = 1,407,831.56/1,884.67
  6. Step 6: Final answer
    x = 746.99

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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.