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Finding the Fourth Proportional to 3,303.06, 4,956.06 and 1,742.70

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Solution

The fourth proportional to 3,303.06, 4,956.06 and 1,742.70 is: 2,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.06 : 4,956.06 = 1,742.70 : x
  2. Step 2: Convert to fraction form
    3,303.06/4,956.06 = 1,742.70/x
  3. Step 3: Cross multiply
    3,303.06x = 4,956.06 × 1,742.70
  4. Step 4: Simplify right side
    3,303.06x = 8,636,925.76
  5. Step 5: Solve for x
    x = 8,636,925.76/3,303.06
  6. Step 6: Final answer
    x = 2,614.83

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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.