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Finding the Fourth Proportional to 1,258.58, 1,885.17 and 1,224.02

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Solution

The fourth proportional to 1,258.58, 1,885.17 and 1,224.02 is: 1,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.58 : 1,885.17 = 1,224.02 : x
  2. Step 2: Convert to fraction form
    1,258.58/1,885.17 = 1,224.02/x
  3. Step 3: Cross multiply
    1,258.58x = 1,885.17 × 1,224.02
  4. Step 4: Simplify right side
    1,258.58x = 2,307,485.78
  5. Step 5: Solve for x
    x = 2,307,485.78/1,258.58
  6. Step 6: Final answer
    x = 1,833.40

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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.