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Finding the Fourth Proportional to 2,698.48, 4,046.88 and 1,054.57

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Solution

The fourth proportional to 2,698.48, 4,046.88 and 1,054.57 is: 1,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.48 : 4,046.88 = 1,054.57 : x
  2. Step 2: Convert to fraction form
    2,698.48/4,046.88 = 1,054.57/x
  3. Step 3: Cross multiply
    2,698.48x = 4,046.88 × 1,054.57
  4. Step 4: Simplify right side
    2,698.48x = 4,267,718.24
  5. Step 5: Solve for x
    x = 4,267,718.24/2,698.48
  6. Step 6: Final answer
    x = 1,581.53

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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.