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Finding the Fourth Proportional to 1,783.69, 2,675.80 and 613.99

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Solution

The fourth proportional to 1,783.69, 2,675.80 and 613.99 is: 921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.69 : 2,675.80 = 613.99 : x
  2. Step 2: Convert to fraction form
    1,783.69/2,675.80 = 613.99/x
  3. Step 3: Cross multiply
    1,783.69x = 2,675.80 × 613.99
  4. Step 4: Simplify right side
    1,783.69x = 1,642,911.37
  5. Step 5: Solve for x
    x = 1,642,911.37/1,783.69
  6. Step 6: Final answer
    x = 921.08

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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.