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Finding the Fourth Proportional to 3,295, 4,547.91 and 1,898.56

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Solution

The fourth proportional to 3,295, 4,547.91 and 1,898.56 is: 2,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295 : 4,547.91 = 1,898.56 : x
  2. Step 2: Convert to fraction form
    3,295/4,547.91 = 1,898.56/x
  3. Step 3: Cross multiply
    3,295x = 4,547.91 × 1,898.56
  4. Step 4: Simplify right side
    3,295x = 8,634,480.01
  5. Step 5: Solve for x
    x = 8,634,480.01/3,295
  6. Step 6: Final answer
    x = 2,620.48

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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.