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Finding the Fourth Proportional to 3,157.26, 4,356.72 and 1,830.66

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Solution

The fourth proportional to 3,157.26, 4,356.72 and 1,830.66 is: 2,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.26 : 4,356.72 = 1,830.66 : x
  2. Step 2: Convert to fraction form
    3,157.26/4,356.72 = 1,830.66/x
  3. Step 3: Cross multiply
    3,157.26x = 4,356.72 × 1,830.66
  4. Step 4: Simplify right side
    3,157.26x = 7,975,673.04
  5. Step 5: Solve for x
    x = 7,975,673.04/3,157.26
  6. Step 6: Final answer
    x = 2,526.14

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