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Finding the Fourth Proportional to 2,597.09, 3,893.20 and 953.19

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Solution

The fourth proportional to 2,597.09, 3,893.20 and 953.19 is: 1,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.09 : 3,893.20 = 953.19 : x
  2. Step 2: Convert to fraction form
    2,597.09/3,893.20 = 953.19/x
  3. Step 3: Cross multiply
    2,597.09x = 3,893.20 × 953.19
  4. Step 4: Simplify right side
    2,597.09x = 3,710,956.93
  5. Step 5: Solve for x
    x = 3,710,956.93/2,597.09
  6. Step 6: Final answer
    x = 1,428.89

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1.5x scale

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.