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Finding the Fourth Proportional to 2,295.81, 3,443.76 and 1,202.31

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Solution

The fourth proportional to 2,295.81, 3,443.76 and 1,202.31 is: 1,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.81 : 3,443.76 = 1,202.31 : x
  2. Step 2: Convert to fraction form
    2,295.81/3,443.76 = 1,202.31/x
  3. Step 3: Cross multiply
    2,295.81x = 3,443.76 × 1,202.31
  4. Step 4: Simplify right side
    2,295.81x = 4,140,461.07
  5. Step 5: Solve for x
    x = 4,140,461.07/2,295.81
  6. Step 6: Final answer
    x = 1,803.49

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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.