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Finding the Fourth Proportional to 3,302.65, 4,956.47 and 1,223.92

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Solution

The fourth proportional to 3,302.65, 4,956.47 and 1,223.92 is: 1,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.65 : 4,956.47 = 1,223.92 : x
  2. Step 2: Convert to fraction form
    3,302.65/4,956.47 = 1,223.92/x
  3. Step 3: Cross multiply
    3,302.65x = 4,956.47 × 1,223.92
  4. Step 4: Simplify right side
    3,302.65x = 6,066,322.76
  5. Step 5: Solve for x
    x = 6,066,322.76/3,302.65
  6. Step 6: Final answer
    x = 1,836.80

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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.