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Finding the Fourth Proportional to 2,698.24, 4,047.87 and 1,054.68

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Solution

The fourth proportional to 2,698.24, 4,047.87 and 1,054.68 is: 1,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.24 : 4,047.87 = 1,054.68 : x
  2. Step 2: Convert to fraction form
    2,698.24/4,047.87 = 1,054.68/x
  3. Step 3: Cross multiply
    2,698.24x = 4,047.87 × 1,054.68
  4. Step 4: Simplify right side
    2,698.24x = 4,269,204.89
  5. Step 5: Solve for x
    x = 4,269,204.89/2,698.24
  6. Step 6: Final answer
    x = 1,582.22

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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.