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Finding the Fourth Proportional to 2,484.60, 3,428.93 and 1,643.84

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Solution

The fourth proportional to 2,484.60, 3,428.93 and 1,643.84 is: 2,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.60 : 3,428.93 = 1,643.84 : x
  2. Step 2: Convert to fraction form
    2,484.60/3,428.93 = 1,643.84/x
  3. Step 3: Cross multiply
    2,484.60x = 3,428.93 × 1,643.84
  4. Step 4: Simplify right side
    2,484.60x = 5,636,586.93
  5. Step 5: Solve for x
    x = 5,636,586.93/2,484.60
  6. Step 6: Final answer
    x = 2,268.61

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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.