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Finding the Fourth Proportional to 3,303.96, 4,956.70 and 1,918.46

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Solution

The fourth proportional to 3,303.96, 4,956.70 and 1,918.46 is: 2,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.96 : 4,956.70 = 1,918.46 : x
  2. Step 2: Convert to fraction form
    3,303.96/4,956.70 = 1,918.46/x
  3. Step 3: Cross multiply
    3,303.96x = 4,956.70 × 1,918.46
  4. Step 4: Simplify right side
    3,303.96x = 9,509,230.68
  5. Step 5: Solve for x
    x = 9,509,230.68/3,303.96
  6. Step 6: Final answer
    x = 2,878.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.