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Finding the Fourth Proportional to 2,698.59, 4,047.41 and 943.46

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Solution

The fourth proportional to 2,698.59, 4,047.41 and 943.46 is: 1,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.59 : 4,047.41 = 943.46 : x
  2. Step 2: Convert to fraction form
    2,698.59/4,047.41 = 943.46/x
  3. Step 3: Cross multiply
    2,698.59x = 4,047.41 × 943.46
  4. Step 4: Simplify right side
    2,698.59x = 3,818,544.48
  5. Step 5: Solve for x
    x = 3,818,544.48/2,698.59
  6. Step 6: Final answer
    x = 1,415.01

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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.