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Finding the Fourth Proportional to 2,483.70, 3,720.24 and 1,892.16

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Solution

The fourth proportional to 2,483.70, 3,720.24 and 1,892.16 is: 2,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.70 : 3,720.24 = 1,892.16 : x
  2. Step 2: Convert to fraction form
    2,483.70/3,720.24 = 1,892.16/x
  3. Step 3: Cross multiply
    2,483.70x = 3,720.24 × 1,892.16
  4. Step 4: Simplify right side
    2,483.70x = 7,039,289.32
  5. Step 5: Solve for x
    x = 7,039,289.32/2,483.70
  6. Step 6: Final answer
    x = 2,834.19

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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.