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Finding the Fourth Proportional to 2,597.06, 3,894.81 and 1,036.55

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Solution

The fourth proportional to 2,597.06, 3,894.81 and 1,036.55 is: 1,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.06 : 3,894.81 = 1,036.55 : x
  2. Step 2: Convert to fraction form
    2,597.06/3,894.81 = 1,036.55/x
  3. Step 3: Cross multiply
    2,597.06x = 3,894.81 × 1,036.55
  4. Step 4: Simplify right side
    2,597.06x = 4,037,145.83
  5. Step 5: Solve for x
    x = 4,037,145.83/2,597.06
  6. Step 6: Final answer
    x = 1,554.51

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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.