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Finding the Fourth Proportional to 2,090.70, 2,880.51 and 1,426.40

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Solution

The fourth proportional to 2,090.70, 2,880.51 and 1,426.40 is: 1,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.70 : 2,880.51 = 1,426.40 : x
  2. Step 2: Convert to fraction form
    2,090.70/2,880.51 = 1,426.40/x
  3. Step 3: Cross multiply
    2,090.70x = 2,880.51 × 1,426.40
  4. Step 4: Simplify right side
    2,090.70x = 4,108,745.06
  5. Step 5: Solve for x
    x = 4,108,745.06/2,090.70
  6. Step 6: Final answer
    x = 1,965.25

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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.