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Finding the Fourth Proportional to 2,547.41, 3,820.77 and 698.54

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Solution

The fourth proportional to 2,547.41, 3,820.77 and 698.54 is: 1,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.41 : 3,820.77 = 698.54 : x
  2. Step 2: Convert to fraction form
    2,547.41/3,820.77 = 698.54/x
  3. Step 3: Cross multiply
    2,547.41x = 3,820.77 × 698.54
  4. Step 4: Simplify right side
    2,547.41x = 2,668,941.57
  5. Step 5: Solve for x
    x = 2,668,941.57/2,547.41
  6. Step 6: Final answer
    x = 1,047.71

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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.