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Finding the Fourth Proportional to 3,157.24, 4,356.60 and 1,830.88

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Solution

The fourth proportional to 3,157.24, 4,356.60 and 1,830.88 is: 2,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.24 : 4,356.60 = 1,830.88 : x
  2. Step 2: Convert to fraction form
    3,157.24/4,356.60 = 1,830.88/x
  3. Step 3: Cross multiply
    3,157.24x = 4,356.60 × 1,830.88
  4. Step 4: Simplify right side
    3,157.24x = 7,976,411.81
  5. Step 5: Solve for x
    x = 7,976,411.81/3,157.24
  6. Step 6: Final answer
    x = 2,526.39

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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.