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Finding the Fourth Proportional to 2,410.96, 3,618.96 and 1,534.48

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Solution

The fourth proportional to 2,410.96, 3,618.96 and 1,534.48 is: 2,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.96 : 3,618.96 = 1,534.48 : x
  2. Step 2: Convert to fraction form
    2,410.96/3,618.96 = 1,534.48/x
  3. Step 3: Cross multiply
    2,410.96x = 3,618.96 × 1,534.48
  4. Step 4: Simplify right side
    2,410.96x = 5,553,221.74
  5. Step 5: Solve for x
    x = 5,553,221.74/2,410.96
  6. Step 6: Final answer
    x = 2,303.32

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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.