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Finding the Fourth Proportional to 3,155.61, 4,354.72 and 1,830.07

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Solution

The fourth proportional to 3,155.61, 4,354.72 and 1,830.07 is: 2,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.61 : 4,354.72 = 1,830.07 : x
  2. Step 2: Convert to fraction form
    3,155.61/4,354.72 = 1,830.07/x
  3. Step 3: Cross multiply
    3,155.61x = 4,354.72 × 1,830.07
  4. Step 4: Simplify right side
    3,155.61x = 7,969,442.43
  5. Step 5: Solve for x
    x = 7,969,442.43/3,155.61
  6. Step 6: Final answer
    x = 2,525.48

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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.