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Finding the Fourth Proportional to 3,106.78, 4,660.98 and 1,159

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Solution

The fourth proportional to 3,106.78, 4,660.98 and 1,159 is: 1,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.78 : 4,660.98 = 1,159 : x
  2. Step 2: Convert to fraction form
    3,106.78/4,660.98 = 1,159/x
  3. Step 3: Cross multiply
    3,106.78x = 4,660.98 × 1,159
  4. Step 4: Simplify right side
    3,106.78x = 5,402,075.82
  5. Step 5: Solve for x
    x = 5,402,075.82/3,106.78
  6. Step 6: Final answer
    x = 1,738.80

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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.