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Finding the Fourth Proportional to 2,597.37, 3,894.86 and 953.93

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Solution

The fourth proportional to 2,597.37, 3,894.86 and 953.93 is: 1,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.37 : 3,894.86 = 953.93 : x
  2. Step 2: Convert to fraction form
    2,597.37/3,894.86 = 953.93/x
  3. Step 3: Cross multiply
    2,597.37x = 3,894.86 × 953.93
  4. Step 4: Simplify right side
    2,597.37x = 3,715,399.56
  5. Step 5: Solve for x
    x = 3,715,399.56/2,597.37
  6. Step 6: Final answer
    x = 1,430.45

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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.