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Finding the Fourth Proportional to 2,698.16, 4,047.43 and 942.93

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Solution

The fourth proportional to 2,698.16, 4,047.43 and 942.93 is: 1,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.16 : 4,047.43 = 942.93 : x
  2. Step 2: Convert to fraction form
    2,698.16/4,047.43 = 942.93/x
  3. Step 3: Cross multiply
    2,698.16x = 4,047.43 × 942.93
  4. Step 4: Simplify right side
    2,698.16x = 3,816,440.81
  5. Step 5: Solve for x
    x = 3,816,440.81/2,698.16
  6. Step 6: Final answer
    x = 1,414.46

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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.