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Finding the Fourth Proportional to 2,946.65, 4,066.34 and 1,687.67

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Solution

The fourth proportional to 2,946.65, 4,066.34 and 1,687.67 is: 2,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.65 : 4,066.34 = 1,687.67 : x
  2. Step 2: Convert to fraction form
    2,946.65/4,066.34 = 1,687.67/x
  3. Step 3: Cross multiply
    2,946.65x = 4,066.34 × 1,687.67
  4. Step 4: Simplify right side
    2,946.65x = 6,862,626.51
  5. Step 5: Solve for x
    x = 6,862,626.51/2,946.65
  6. Step 6: Final answer
    x = 2,328.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.