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Finding the Fourth Proportional to 2,124.66, 2,906.03 and 2,090.64

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Solution

The fourth proportional to 2,124.66, 2,906.03 and 2,090.64 is: 2,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.66 : 2,906.03 = 2,090.64 : x
  2. Step 2: Convert to fraction form
    2,124.66/2,906.03 = 2,090.64/x
  3. Step 3: Cross multiply
    2,124.66x = 2,906.03 × 2,090.64
  4. Step 4: Simplify right side
    2,124.66x = 6,075,452.11
  5. Step 5: Solve for x
    x = 6,075,452.11/2,124.66
  6. Step 6: Final answer
    x = 2,859.49

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