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Finding the Fourth Proportional to 2,384.99, 3,577.58 and 741.54

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Solution

The fourth proportional to 2,384.99, 3,577.58 and 741.54 is: 1,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.99 : 3,577.58 = 741.54 : x
  2. Step 2: Convert to fraction form
    2,384.99/3,577.58 = 741.54/x
  3. Step 3: Cross multiply
    2,384.99x = 3,577.58 × 741.54
  4. Step 4: Simplify right side
    2,384.99x = 2,652,914.97
  5. Step 5: Solve for x
    x = 2,652,914.97/2,384.99
  6. Step 6: Final answer
    x = 1,112.34

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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.