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Finding the Fourth Proportional to 2,947.77, 4,422.37 and 973.52

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Solution

The fourth proportional to 2,947.77, 4,422.37 and 973.52 is: 1,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.77 : 4,422.37 = 973.52 : x
  2. Step 2: Convert to fraction form
    2,947.77/4,422.37 = 973.52/x
  3. Step 3: Cross multiply
    2,947.77x = 4,422.37 × 973.52
  4. Step 4: Simplify right side
    2,947.77x = 4,305,262.24
  5. Step 5: Solve for x
    x = 4,305,262.24/2,947.77
  6. Step 6: Final answer
    x = 1,460.52

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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.