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Finding the Fourth Proportional to 2,477.80, 3,714.48 and 917.47

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Solution

The fourth proportional to 2,477.80, 3,714.48 and 917.47 is: 1,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.80 : 3,714.48 = 917.47 : x
  2. Step 2: Convert to fraction form
    2,477.80/3,714.48 = 917.47/x
  3. Step 3: Cross multiply
    2,477.80x = 3,714.48 × 917.47
  4. Step 4: Simplify right side
    2,477.80x = 3,407,923.97
  5. Step 5: Solve for x
    x = 3,407,923.97/2,477.80
  6. Step 6: Final answer
    x = 1,375.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.