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Finding the Fourth Proportional to 3,156.54, 4,355.64 and 1,830

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Solution

The fourth proportional to 3,156.54, 4,355.64 and 1,830 is: 2,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.54 : 4,355.64 = 1,830 : x
  2. Step 2: Convert to fraction form
    3,156.54/4,355.64 = 1,830/x
  3. Step 3: Cross multiply
    3,156.54x = 4,355.64 × 1,830
  4. Step 4: Simplify right side
    3,156.54x = 7,970,821.20
  5. Step 5: Solve for x
    x = 7,970,821.20/3,156.54
  6. Step 6: Final answer
    x = 2,525.18

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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.