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Finding the Fourth Proportional to 2,257.44, 3,386.16 and 1,270.32

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Solution

The fourth proportional to 2,257.44, 3,386.16 and 1,270.32 is: 1,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.44 : 3,386.16 = 1,270.32 : x
  2. Step 2: Convert to fraction form
    2,257.44/3,386.16 = 1,270.32/x
  3. Step 3: Cross multiply
    2,257.44x = 3,386.16 × 1,270.32
  4. Step 4: Simplify right side
    2,257.44x = 4,301,506.77
  5. Step 5: Solve for x
    x = 4,301,506.77/2,257.44
  6. Step 6: Final answer
    x = 1,905.48

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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.