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Finding the Fourth Proportional to 2,669.42, 4,004.14 and 1,210.34

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Solution

The fourth proportional to 2,669.42, 4,004.14 and 1,210.34 is: 1,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.42 : 4,004.14 = 1,210.34 : x
  2. Step 2: Convert to fraction form
    2,669.42/4,004.14 = 1,210.34/x
  3. Step 3: Cross multiply
    2,669.42x = 4,004.14 × 1,210.34
  4. Step 4: Simplify right side
    2,669.42x = 4,846,370.81
  5. Step 5: Solve for x
    x = 4,846,370.81/2,669.42
  6. Step 6: Final answer
    x = 1,815.51

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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.