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Finding the Fourth Proportional to 2,271.36, 3,406.02 and 1,038.48

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Solution

The fourth proportional to 2,271.36, 3,406.02 and 1,038.48 is: 1,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.36 : 3,406.02 = 1,038.48 : x
  2. Step 2: Convert to fraction form
    2,271.36/3,406.02 = 1,038.48/x
  3. Step 3: Cross multiply
    2,271.36x = 3,406.02 × 1,038.48
  4. Step 4: Simplify right side
    2,271.36x = 3,537,083.65
  5. Step 5: Solve for x
    x = 3,537,083.65/2,271.36
  6. Step 6: Final answer
    x = 1,557.25

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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.