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Finding the Fourth Proportional to 1,674.95, 2,311.80 and 1,084.46

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Solution

The fourth proportional to 1,674.95, 2,311.80 and 1,084.46 is: 1,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.95 : 2,311.80 = 1,084.46 : x
  2. Step 2: Convert to fraction form
    1,674.95/2,311.80 = 1,084.46/x
  3. Step 3: Cross multiply
    1,674.95x = 2,311.80 × 1,084.46
  4. Step 4: Simplify right side
    1,674.95x = 2,507,039.00
  5. Step 5: Solve for x
    x = 2,507,039.00/1,674.95
  6. Step 6: Final answer
    x = 1,496.79

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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.