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Finding the Fourth Proportional to 2,160.54, 3,238.01 and 973.71

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Solution

The fourth proportional to 2,160.54, 3,238.01 and 973.71 is: 1,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.54 : 3,238.01 = 973.71 : x
  2. Step 2: Convert to fraction form
    2,160.54/3,238.01 = 973.71/x
  3. Step 3: Cross multiply
    2,160.54x = 3,238.01 × 973.71
  4. Step 4: Simplify right side
    2,160.54x = 3,152,884.83
  5. Step 5: Solve for x
    x = 3,152,884.83/2,160.54
  6. Step 6: Final answer
    x = 1,459.30

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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.