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Finding the Fourth Proportional to 1,674.88, 2,311.33 and 1,011.60

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Solution

The fourth proportional to 1,674.88, 2,311.33 and 1,011.60 is: 1,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.88 : 2,311.33 = 1,011.60 : x
  2. Step 2: Convert to fraction form
    1,674.88/2,311.33 = 1,011.60/x
  3. Step 3: Cross multiply
    1,674.88x = 2,311.33 × 1,011.60
  4. Step 4: Simplify right side
    1,674.88x = 2,338,124.81
  5. Step 5: Solve for x
    x = 2,338,124.81/1,674.88
  6. Step 6: Final answer
    x = 1,396.00

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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.