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Finding the Fourth Proportional to 2,316.04, 3,475.89 and 856.23

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Solution

The fourth proportional to 2,316.04, 3,475.89 and 856.23 is: 1,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.04 : 3,475.89 = 856.23 : x
  2. Step 2: Convert to fraction form
    2,316.04/3,475.89 = 856.23/x
  3. Step 3: Cross multiply
    2,316.04x = 3,475.89 × 856.23
  4. Step 4: Simplify right side
    2,316.04x = 2,976,161.29
  5. Step 5: Solve for x
    x = 2,976,161.29/2,316.04
  6. Step 6: Final answer
    x = 1,285.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.