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Finding the Fourth Proportional to 2,684.97, 3,705.19 and 1,506.07

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Solution

The fourth proportional to 2,684.97, 3,705.19 and 1,506.07 is: 2,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.97 : 3,705.19 = 1,506.07 : x
  2. Step 2: Convert to fraction form
    2,684.97/3,705.19 = 1,506.07/x
  3. Step 3: Cross multiply
    2,684.97x = 3,705.19 × 1,506.07
  4. Step 4: Simplify right side
    2,684.97x = 5,580,256.98
  5. Step 5: Solve for x
    x = 5,580,256.98/2,684.97
  6. Step 6: Final answer
    x = 2,078.34

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1.5x scale

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.