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Finding the Fourth Proportional to 2,975.88, 4,106.64 and 1,649.58

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Solution

The fourth proportional to 2,975.88, 4,106.64 and 1,649.58 is: 2,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.88 : 4,106.64 = 1,649.58 : x
  2. Step 2: Convert to fraction form
    2,975.88/4,106.64 = 1,649.58/x
  3. Step 3: Cross multiply
    2,975.88x = 4,106.64 × 1,649.58
  4. Step 4: Simplify right side
    2,975.88x = 6,774,231.21
  5. Step 5: Solve for x
    x = 6,774,231.21/2,975.88
  6. Step 6: Final answer
    x = 2,276.38

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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.