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Finding the Fourth Proportional to 2,707.47, 3,725.46 and 2,077.74

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Solution

The fourth proportional to 2,707.47, 3,725.46 and 2,077.74 is: 2,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.47 : 3,725.46 = 2,077.74 : x
  2. Step 2: Convert to fraction form
    2,707.47/3,725.46 = 2,077.74/x
  3. Step 3: Cross multiply
    2,707.47x = 3,725.46 × 2,077.74
  4. Step 4: Simplify right side
    2,707.47x = 7,740,537.26
  5. Step 5: Solve for x
    x = 7,740,537.26/2,707.47
  6. Step 6: Final answer
    x = 2,858.96

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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.