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Finding the Fourth Proportional to 3,054.64, 4,581.93 and 746.14

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Solution

The fourth proportional to 3,054.64, 4,581.93 and 746.14 is: 1,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.64 : 4,581.93 = 746.14 : x
  2. Step 2: Convert to fraction form
    3,054.64/4,581.93 = 746.14/x
  3. Step 3: Cross multiply
    3,054.64x = 4,581.93 × 746.14
  4. Step 4: Simplify right side
    3,054.64x = 3,418,761.25
  5. Step 5: Solve for x
    x = 3,418,761.25/3,054.64
  6. Step 6: Final answer
    x = 1,119.20

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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.