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Finding the Fourth Proportional to 2,697.84, 4,048.62 and 1,054.41

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Solution

The fourth proportional to 2,697.84, 4,048.62 and 1,054.41 is: 1,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.84 : 4,048.62 = 1,054.41 : x
  2. Step 2: Convert to fraction form
    2,697.84/4,048.62 = 1,054.41/x
  3. Step 3: Cross multiply
    2,697.84x = 4,048.62 × 1,054.41
  4. Step 4: Simplify right side
    2,697.84x = 4,268,905.41
  5. Step 5: Solve for x
    x = 4,268,905.41/2,697.84
  6. Step 6: Final answer
    x = 1,582.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.