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Finding the Fourth Proportional to 1,973.88, 2,724.04 and 1,089.78

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Solution

The fourth proportional to 1,973.88, 2,724.04 and 1,089.78 is: 1,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.88 : 2,724.04 = 1,089.78 : x
  2. Step 2: Convert to fraction form
    1,973.88/2,724.04 = 1,089.78/x
  3. Step 3: Cross multiply
    1,973.88x = 2,724.04 × 1,089.78
  4. Step 4: Simplify right side
    1,973.88x = 2,968,604.31
  5. Step 5: Solve for x
    x = 2,968,604.31/1,973.88
  6. Step 6: Final answer
    x = 1,503.94

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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.