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Finding the Fourth Proportional to 2,146.88, 2,962 and 1,483.84

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Solution

The fourth proportional to 2,146.88, 2,962 and 1,483.84 is: 2,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.88 : 2,962 = 1,483.84 : x
  2. Step 2: Convert to fraction form
    2,146.88/2,962 = 1,483.84/x
  3. Step 3: Cross multiply
    2,146.88x = 2,962 × 1,483.84
  4. Step 4: Simplify right side
    2,146.88x = 4,395,134.08
  5. Step 5: Solve for x
    x = 4,395,134.08/2,146.88
  6. Step 6: Final answer
    x = 2,047.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.