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Finding the Fourth Proportional to 1,990.69, 2,986.88 and 1,066

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Solution

The fourth proportional to 1,990.69, 2,986.88 and 1,066 is: 1,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.69 : 2,986.88 = 1,066 : x
  2. Step 2: Convert to fraction form
    1,990.69/2,986.88 = 1,066/x
  3. Step 3: Cross multiply
    1,990.69x = 2,986.88 × 1,066
  4. Step 4: Simplify right side
    1,990.69x = 3,184,014.08
  5. Step 5: Solve for x
    x = 3,184,014.08/1,990.69
  6. Step 6: Final answer
    x = 1,599.45

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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.