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Finding the Fourth Proportional to 3,157.37, 4,356.78 and 1,830.89

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Solution

The fourth proportional to 3,157.37, 4,356.78 and 1,830.89 is: 2,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.37 : 4,356.78 = 1,830.89 : x
  2. Step 2: Convert to fraction form
    3,157.37/4,356.78 = 1,830.89/x
  3. Step 3: Cross multiply
    3,157.37x = 4,356.78 × 1,830.89
  4. Step 4: Simplify right side
    3,157.37x = 7,976,763.15
  5. Step 5: Solve for x
    x = 7,976,763.15/3,157.37
  6. Step 6: Final answer
    x = 2,526.40

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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.