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Finding the Fourth Proportional to 2,016.30, 3,024.45 and 973.13

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Solution

The fourth proportional to 2,016.30, 3,024.45 and 973.13 is: 1,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.30 : 3,024.45 = 973.13 : x
  2. Step 2: Convert to fraction form
    2,016.30/3,024.45 = 973.13/x
  3. Step 3: Cross multiply
    2,016.30x = 3,024.45 × 973.13
  4. Step 4: Simplify right side
    2,016.30x = 2,943,183.03
  5. Step 5: Solve for x
    x = 2,943,183.03/2,016.30
  6. Step 6: Final answer
    x = 1,459.70

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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.