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Finding the Fourth Proportional to 1,676.69, 2,309.51 and 1,410.80

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Solution

The fourth proportional to 1,676.69, 2,309.51 and 1,410.80 is: 1,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.69 : 2,309.51 = 1,410.80 : x
  2. Step 2: Convert to fraction form
    1,676.69/2,309.51 = 1,410.80/x
  3. Step 3: Cross multiply
    1,676.69x = 2,309.51 × 1,410.80
  4. Step 4: Simplify right side
    1,676.69x = 3,258,238.11
  5. Step 5: Solve for x
    x = 3,258,238.11/1,676.69
  6. Step 6: Final answer
    x = 1,943.26

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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.