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Finding the Fourth Proportional to 2,258.76, 3,116.80 and 1,314.81

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Solution

The fourth proportional to 2,258.76, 3,116.80 and 1,314.81 is: 1,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.76 : 3,116.80 = 1,314.81 : x
  2. Step 2: Convert to fraction form
    2,258.76/3,116.80 = 1,314.81/x
  3. Step 3: Cross multiply
    2,258.76x = 3,116.80 × 1,314.81
  4. Step 4: Simplify right side
    2,258.76x = 4,097,999.81
  5. Step 5: Solve for x
    x = 4,097,999.81/2,258.76
  6. Step 6: Final answer
    x = 1,814.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.