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Finding the Fourth Proportional to 2,359.74, 3,256.80 and 1,698.78

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Solution

The fourth proportional to 2,359.74, 3,256.80 and 1,698.78 is: 2,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.74 : 3,256.80 = 1,698.78 : x
  2. Step 2: Convert to fraction form
    2,359.74/3,256.80 = 1,698.78/x
  3. Step 3: Cross multiply
    2,359.74x = 3,256.80 × 1,698.78
  4. Step 4: Simplify right side
    2,359.74x = 5,532,586.70
  5. Step 5: Solve for x
    x = 5,532,586.70/2,359.74
  6. Step 6: Final answer
    x = 2,344.57

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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.