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Finding the Fourth Proportional to 2,416.41, 3,623.13 and 856.23

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Solution

The fourth proportional to 2,416.41, 3,623.13 and 856.23 is: 1,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.41 : 3,623.13 = 856.23 : x
  2. Step 2: Convert to fraction form
    2,416.41/3,623.13 = 856.23/x
  3. Step 3: Cross multiply
    2,416.41x = 3,623.13 × 856.23
  4. Step 4: Simplify right side
    2,416.41x = 3,102,232.60
  5. Step 5: Solve for x
    x = 3,102,232.60/2,416.41
  6. Step 6: Final answer
    x = 1,283.82

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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.