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Finding the Fourth Proportional to 2,971.47, 4,458.93 and 1,216.20

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Solution

The fourth proportional to 2,971.47, 4,458.93 and 1,216.20 is: 1,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.47 : 4,458.93 = 1,216.20 : x
  2. Step 2: Convert to fraction form
    2,971.47/4,458.93 = 1,216.20/x
  3. Step 3: Cross multiply
    2,971.47x = 4,458.93 × 1,216.20
  4. Step 4: Simplify right side
    2,971.47x = 5,422,950.67
  5. Step 5: Solve for x
    x = 5,422,950.67/2,971.47
  6. Step 6: Final answer
    x = 1,825.01

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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.