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Finding the Fourth Proportional to 2,038.48, 3,057 and 1,258.90

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Solution

The fourth proportional to 2,038.48, 3,057 and 1,258.90 is: 1,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.48 : 3,057 = 1,258.90 : x
  2. Step 2: Convert to fraction form
    2,038.48/3,057 = 1,258.90/x
  3. Step 3: Cross multiply
    2,038.48x = 3,057 × 1,258.90
  4. Step 4: Simplify right side
    2,038.48x = 3,848,457.30
  5. Step 5: Solve for x
    x = 3,848,457.30/2,038.48
  6. Step 6: Final answer
    x = 1,887.91

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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.