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Finding the Fourth Proportional to 1,597.44, 2,391.12 and 1,364.16

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Solution

The fourth proportional to 1,597.44, 2,391.12 and 1,364.16 is: 2,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.44 : 2,391.12 = 1,364.16 : x
  2. Step 2: Convert to fraction form
    1,597.44/2,391.12 = 1,364.16/x
  3. Step 3: Cross multiply
    1,597.44x = 2,391.12 × 1,364.16
  4. Step 4: Simplify right side
    1,597.44x = 3,261,870.26
  5. Step 5: Solve for x
    x = 3,261,870.26/1,597.44
  6. Step 6: Final answer
    x = 2,041.94

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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.