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Finding the Fourth Proportional to 2,706.63, 3,735.14 and 1,464.63

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Solution

The fourth proportional to 2,706.63, 3,735.14 and 1,464.63 is: 2,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.63 : 3,735.14 = 1,464.63 : x
  2. Step 2: Convert to fraction form
    2,706.63/3,735.14 = 1,464.63/x
  3. Step 3: Cross multiply
    2,706.63x = 3,735.14 × 1,464.63
  4. Step 4: Simplify right side
    2,706.63x = 5,470,598.10
  5. Step 5: Solve for x
    x = 5,470,598.10/2,706.63
  6. Step 6: Final answer
    x = 2,021.18

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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.