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Finding the Fourth Proportional to 2,258.64, 3,116.88 and 1,314.63

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Solution

The fourth proportional to 2,258.64, 3,116.88 and 1,314.63 is: 1,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.64 : 3,116.88 = 1,314.63 : x
  2. Step 2: Convert to fraction form
    2,258.64/3,116.88 = 1,314.63/x
  3. Step 3: Cross multiply
    2,258.64x = 3,116.88 × 1,314.63
  4. Step 4: Simplify right side
    2,258.64x = 4,097,543.95
  5. Step 5: Solve for x
    x = 4,097,543.95/2,258.64
  6. Step 6: Final answer
    x = 1,814.16

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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.