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Finding the Fourth Proportional to 2,597.35, 3,580.94 and 1,923.02

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Solution

The fourth proportional to 2,597.35, 3,580.94 and 1,923.02 is: 2,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.35 : 3,580.94 = 1,923.02 : x
  2. Step 2: Convert to fraction form
    2,597.35/3,580.94 = 1,923.02/x
  3. Step 3: Cross multiply
    2,597.35x = 3,580.94 × 1,923.02
  4. Step 4: Simplify right side
    2,597.35x = 6,886,209.62
  5. Step 5: Solve for x
    x = 6,886,209.62/2,597.35
  6. Step 6: Final answer
    x = 2,651.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.