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Finding the Fourth Proportional to 1,774.25, 2,448.48 and 988.37

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Solution

The fourth proportional to 1,774.25, 2,448.48 and 988.37 is: 1,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.25 : 2,448.48 = 988.37 : x
  2. Step 2: Convert to fraction form
    1,774.25/2,448.48 = 988.37/x
  3. Step 3: Cross multiply
    1,774.25x = 2,448.48 × 988.37
  4. Step 4: Simplify right side
    1,774.25x = 2,420,004.18
  5. Step 5: Solve for x
    x = 2,420,004.18/1,774.25
  6. Step 6: Final answer
    x = 1,363.96

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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.