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Finding the Fourth Proportional to 2,803.02, 3,869.02 and 1,684.14

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Solution

The fourth proportional to 2,803.02, 3,869.02 and 1,684.14 is: 2,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.02 : 3,869.02 = 1,684.14 : x
  2. Step 2: Convert to fraction form
    2,803.02/3,869.02 = 1,684.14/x
  3. Step 3: Cross multiply
    2,803.02x = 3,869.02 × 1,684.14
  4. Step 4: Simplify right side
    2,803.02x = 6,515,971.34
  5. Step 5: Solve for x
    x = 6,515,971.34/2,803.02
  6. Step 6: Final answer
    x = 2,324.63

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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.