Home / 1,922.76-2,884.95-1,306.08

Finding the Fourth Proportional to 1,922.76, 2,884.95 and 1,306.08

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Solution

The fourth proportional to 1,922.76, 2,884.95 and 1,306.08 is: 1,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.76 : 2,884.95 = 1,306.08 : x
  2. Step 2: Convert to fraction form
    1,922.76/2,884.95 = 1,306.08/x
  3. Step 3: Cross multiply
    1,922.76x = 2,884.95 × 1,306.08
  4. Step 4: Simplify right side
    1,922.76x = 3,767,975.50
  5. Step 5: Solve for x
    x = 3,767,975.50/1,922.76
  6. Step 6: Final answer
    x = 1,959.67

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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.