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Finding the Fourth Proportional to 2,642.63, 3,645.14 and 1,698.10

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Solution

The fourth proportional to 2,642.63, 3,645.14 and 1,698.10 is: 2,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.63 : 3,645.14 = 1,698.10 : x
  2. Step 2: Convert to fraction form
    2,642.63/3,645.14 = 1,698.10/x
  3. Step 3: Cross multiply
    2,642.63x = 3,645.14 × 1,698.10
  4. Step 4: Simplify right side
    2,642.63x = 6,189,794.63
  5. Step 5: Solve for x
    x = 6,189,794.63/2,642.63
  6. Step 6: Final answer
    x = 2,342.29

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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.