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Finding the Fourth Proportional to 2,244.60, 3,366.45 and 856.98

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Solution

The fourth proportional to 2,244.60, 3,366.45 and 856.98 is: 1,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.60 : 3,366.45 = 856.98 : x
  2. Step 2: Convert to fraction form
    2,244.60/3,366.45 = 856.98/x
  3. Step 3: Cross multiply
    2,244.60x = 3,366.45 × 856.98
  4. Step 4: Simplify right side
    2,244.60x = 2,884,980.32
  5. Step 5: Solve for x
    x = 2,884,980.32/2,244.60
  6. Step 6: Final answer
    x = 1,285.30

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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.