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Finding the Fourth Proportional to 2,114.64, 2,896.86 and 2,090.94

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Solution

The fourth proportional to 2,114.64, 2,896.86 and 2,090.94 is: 2,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.64 : 2,896.86 = 2,090.94 : x
  2. Step 2: Convert to fraction form
    2,114.64/2,896.86 = 2,090.94/x
  3. Step 3: Cross multiply
    2,114.64x = 2,896.86 × 2,090.94
  4. Step 4: Simplify right side
    2,114.64x = 6,057,160.45
  5. Step 5: Solve for x
    x = 6,057,160.45/2,114.64
  6. Step 6: Final answer
    x = 2,864.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.