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Finding the Fourth Proportional to 1,986.07, 2,973.63 and 1,497.64

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Solution

The fourth proportional to 1,986.07, 2,973.63 and 1,497.64 is: 2,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.07 : 2,973.63 = 1,497.64 : x
  2. Step 2: Convert to fraction form
    1,986.07/2,973.63 = 1,497.64/x
  3. Step 3: Cross multiply
    1,986.07x = 2,973.63 × 1,497.64
  4. Step 4: Simplify right side
    1,986.07x = 4,453,427.23
  5. Step 5: Solve for x
    x = 4,453,427.23/1,986.07
  6. Step 6: Final answer
    x = 2,242.33

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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.