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Finding the Fourth Proportional to 1,674.93, 2,498.80 and 1,584.21

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Solution

The fourth proportional to 1,674.93, 2,498.80 and 1,584.21 is: 2,363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.93 : 2,498.80 = 1,584.21 : x
  2. Step 2: Convert to fraction form
    1,674.93/2,498.80 = 1,584.21/x
  3. Step 3: Cross multiply
    1,674.93x = 2,498.80 × 1,584.21
  4. Step 4: Simplify right side
    1,674.93x = 3,958,619.99
  5. Step 5: Solve for x
    x = 3,958,619.99/1,674.93
  6. Step 6: Final answer
    x = 2,363.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.