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Finding the Fourth Proportional to 2,597.64, 3,894.26 and 953.24

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Solution

The fourth proportional to 2,597.64, 3,894.26 and 953.24 is: 1,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.64 : 3,894.26 = 953.24 : x
  2. Step 2: Convert to fraction form
    2,597.64/3,894.26 = 953.24/x
  3. Step 3: Cross multiply
    2,597.64x = 3,894.26 × 953.24
  4. Step 4: Simplify right side
    2,597.64x = 3,712,164.40
  5. Step 5: Solve for x
    x = 3,712,164.40/2,597.64
  6. Step 6: Final answer
    x = 1,429.05

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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.