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Finding the Fourth Proportional to 1,402.80, 2,105.16 and 581.10

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Solution

The fourth proportional to 1,402.80, 2,105.16 and 581.10 is: 872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.80 : 2,105.16 = 581.10 : x
  2. Step 2: Convert to fraction form
    1,402.80/2,105.16 = 581.10/x
  3. Step 3: Cross multiply
    1,402.80x = 2,105.16 × 581.10
  4. Step 4: Simplify right side
    1,402.80x = 1,223,308.48
  5. Step 5: Solve for x
    x = 1,223,308.48/1,402.80
  6. Step 6: Final answer
    x = 872.05

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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.