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Finding the Fourth Proportional to 1,806.51, 2,707.69 and 985.49

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Solution

The fourth proportional to 1,806.51, 2,707.69 and 985.49 is: 1,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.51 : 2,707.69 = 985.49 : x
  2. Step 2: Convert to fraction form
    1,806.51/2,707.69 = 985.49/x
  3. Step 3: Cross multiply
    1,806.51x = 2,707.69 × 985.49
  4. Step 4: Simplify right side
    1,806.51x = 2,668,401.42
  5. Step 5: Solve for x
    x = 2,668,401.42/1,806.51
  6. Step 6: Final answer
    x = 1,477.10

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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.