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Finding the Fourth Proportional to 2,243.94, 3,366.33 and 783.06

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Solution

The fourth proportional to 2,243.94, 3,366.33 and 783.06 is: 1,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.94 : 3,366.33 = 783.06 : x
  2. Step 2: Convert to fraction form
    2,243.94/3,366.33 = 783.06/x
  3. Step 3: Cross multiply
    2,243.94x = 3,366.33 × 783.06
  4. Step 4: Simplify right side
    2,243.94x = 2,636,038.37
  5. Step 5: Solve for x
    x = 2,636,038.37/2,243.94
  6. Step 6: Final answer
    x = 1,174.74

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1.5x scale

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.