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Finding the Fourth Proportional to 2,597.93, 3,896.49 and 1,038.14

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Solution

The fourth proportional to 2,597.93, 3,896.49 and 1,038.14 is: 1,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.93 : 3,896.49 = 1,038.14 : x
  2. Step 2: Convert to fraction form
    2,597.93/3,896.49 = 1,038.14/x
  3. Step 3: Cross multiply
    2,597.93x = 3,896.49 × 1,038.14
  4. Step 4: Simplify right side
    2,597.93x = 4,045,102.13
  5. Step 5: Solve for x
    x = 4,045,102.13/2,597.93
  6. Step 6: Final answer
    x = 1,557.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.