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Finding the Fourth Proportional to 1,870.19, 2,805.09 and 830.21

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Solution

The fourth proportional to 1,870.19, 2,805.09 and 830.21 is: 1,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.19 : 2,805.09 = 830.21 : x
  2. Step 2: Convert to fraction form
    1,870.19/2,805.09 = 830.21/x
  3. Step 3: Cross multiply
    1,870.19x = 2,805.09 × 830.21
  4. Step 4: Simplify right side
    1,870.19x = 2,328,813.77
  5. Step 5: Solve for x
    x = 2,328,813.77/1,870.19
  6. Step 6: Final answer
    x = 1,245.23

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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.