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Finding the Fourth Proportional to 2,318.66, 3,477.30 and 1,278.47

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Solution

The fourth proportional to 2,318.66, 3,477.30 and 1,278.47 is: 1,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.66 : 3,477.30 = 1,278.47 : x
  2. Step 2: Convert to fraction form
    2,318.66/3,477.30 = 1,278.47/x
  3. Step 3: Cross multiply
    2,318.66x = 3,477.30 × 1,278.47
  4. Step 4: Simplify right side
    2,318.66x = 4,445,606.34
  5. Step 5: Solve for x
    x = 4,445,606.34/2,318.66
  6. Step 6: Final answer
    x = 1,917.32

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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.