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Finding the Fourth Proportional to 2,416.02, 3,623.92 and 856.00

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Solution

The fourth proportional to 2,416.02, 3,623.92 and 856.00 is: 1,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.02 : 3,623.92 = 856.00 : x
  2. Step 2: Convert to fraction form
    2,416.02/3,623.92 = 856.00/x
  3. Step 3: Cross multiply
    2,416.02x = 3,623.92 × 856.00
  4. Step 4: Simplify right side
    2,416.02x = 3,102,081.12
  5. Step 5: Solve for x
    x = 3,102,081.12/2,416.02
  6. Step 6: Final answer
    x = 1,283.96

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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.