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Finding the Fourth Proportional to 1,870.07, 2,805.23 and 758.95

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Solution

The fourth proportional to 1,870.07, 2,805.23 and 758.95 is: 1,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.07 : 2,805.23 = 758.95 : x
  2. Step 2: Convert to fraction form
    1,870.07/2,805.23 = 758.95/x
  3. Step 3: Cross multiply
    1,870.07x = 2,805.23 × 758.95
  4. Step 4: Simplify right side
    1,870.07x = 2,129,024.19
  5. Step 5: Solve for x
    x = 2,129,024.19/1,870.07
  6. Step 6: Final answer
    x = 1,138.48

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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.