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Finding the Fourth Proportional to 2,698.76, 4,041.84 and 2,077.54

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Solution

The fourth proportional to 2,698.76, 4,041.84 and 2,077.54 is: 3,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.76 : 4,041.84 = 2,077.54 : x
  2. Step 2: Convert to fraction form
    2,698.76/4,041.84 = 2,077.54/x
  3. Step 3: Cross multiply
    2,698.76x = 4,041.84 × 2,077.54
  4. Step 4: Simplify right side
    2,698.76x = 8,397,064.06
  5. Step 5: Solve for x
    x = 8,397,064.06/2,698.76
  6. Step 6: Final answer
    x = 3,111.45

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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.