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Finding the Fourth Proportional to 2,888.94, 3,986.80 and 1,770.50

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Solution

The fourth proportional to 2,888.94, 3,986.80 and 1,770.50 is: 2,443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.94 : 3,986.80 = 1,770.50 : x
  2. Step 2: Convert to fraction form
    2,888.94/3,986.80 = 1,770.50/x
  3. Step 3: Cross multiply
    2,888.94x = 3,986.80 × 1,770.50
  4. Step 4: Simplify right side
    2,888.94x = 7,058,629.40
  5. Step 5: Solve for x
    x = 7,058,629.40/2,888.94
  6. Step 6: Final answer
    x = 2,443.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.