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Finding the Fourth Proportional to 2,101.44, 3,152.70 and 803.01

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Solution

The fourth proportional to 2,101.44, 3,152.70 and 803.01 is: 1,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.44 : 3,152.70 = 803.01 : x
  2. Step 2: Convert to fraction form
    2,101.44/3,152.70 = 803.01/x
  3. Step 3: Cross multiply
    2,101.44x = 3,152.70 × 803.01
  4. Step 4: Simplify right side
    2,101.44x = 2,531,649.63
  5. Step 5: Solve for x
    x = 2,531,649.63/2,101.44
  6. Step 6: Final answer
    x = 1,204.72

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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.