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Finding the Fourth Proportional to 3,409.84, 4,705.58 and 1,917.76

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Solution

The fourth proportional to 3,409.84, 4,705.58 and 1,917.76 is: 2,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.84 : 4,705.58 = 1,917.76 : x
  2. Step 2: Convert to fraction form
    3,409.84/4,705.58 = 1,917.76/x
  3. Step 3: Cross multiply
    3,409.84x = 4,705.58 × 1,917.76
  4. Step 4: Simplify right side
    3,409.84x = 9,024,173.10
  5. Step 5: Solve for x
    x = 9,024,173.10/3,409.84
  6. Step 6: Final answer
    x = 2,646.51

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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.