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Finding the Fourth Proportional to 2,707.70, 3,736.74 and 1,646.18

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Solution

The fourth proportional to 2,707.70, 3,736.74 and 1,646.18 is: 2,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.70 : 3,736.74 = 1,646.18 : x
  2. Step 2: Convert to fraction form
    2,707.70/3,736.74 = 1,646.18/x
  3. Step 3: Cross multiply
    2,707.70x = 3,736.74 × 1,646.18
  4. Step 4: Simplify right side
    2,707.70x = 6,151,346.65
  5. Step 5: Solve for x
    x = 6,151,346.65/2,707.70
  6. Step 6: Final answer
    x = 2,271.80

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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.