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Finding the Fourth Proportional to 1,783.91, 2,675.52 and 613.86

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Solution

The fourth proportional to 1,783.91, 2,675.52 and 613.86 is: 920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.91 : 2,675.52 = 613.86 : x
  2. Step 2: Convert to fraction form
    1,783.91/2,675.52 = 613.86/x
  3. Step 3: Cross multiply
    1,783.91x = 2,675.52 × 613.86
  4. Step 4: Simplify right side
    1,783.91x = 1,642,394.71
  5. Step 5: Solve for x
    x = 1,642,394.71/1,783.91
  6. Step 6: Final answer
    x = 920.67

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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.