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Finding the Fourth Proportional to 3,054.52, 4,581.76 and 746

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Solution

The fourth proportional to 3,054.52, 4,581.76 and 746 is: 1,119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.52 : 4,581.76 = 746 : x
  2. Step 2: Convert to fraction form
    3,054.52/4,581.76 = 746/x
  3. Step 3: Cross multiply
    3,054.52x = 4,581.76 × 746
  4. Step 4: Simplify right side
    3,054.52x = 3,417,992.96
  5. Step 5: Solve for x
    x = 3,417,992.96/3,054.52
  6. Step 6: Final answer
    x = 1,119.00

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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.