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Finding the Fourth Proportional to 3,072.42, 4,239.78 and 1,746.12

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Solution

The fourth proportional to 3,072.42, 4,239.78 and 1,746.12 is: 2,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.42 : 4,239.78 = 1,746.12 : x
  2. Step 2: Convert to fraction form
    3,072.42/4,239.78 = 1,746.12/x
  3. Step 3: Cross multiply
    3,072.42x = 4,239.78 × 1,746.12
  4. Step 4: Simplify right side
    3,072.42x = 7,403,164.65
  5. Step 5: Solve for x
    x = 7,403,164.65/3,072.42
  6. Step 6: Final answer
    x = 2,409.55

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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.