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Finding the Fourth Proportional to 2,370.68, 3,556.52 and 909.83

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Solution

The fourth proportional to 2,370.68, 3,556.52 and 909.83 is: 1,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.68 : 3,556.52 = 909.83 : x
  2. Step 2: Convert to fraction form
    2,370.68/3,556.52 = 909.83/x
  3. Step 3: Cross multiply
    2,370.68x = 3,556.52 × 909.83
  4. Step 4: Simplify right side
    2,370.68x = 3,235,806.26
  5. Step 5: Solve for x
    x = 3,235,806.26/2,370.68
  6. Step 6: Final answer
    x = 1,364.93

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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.