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Finding the Fourth Proportional to 4,741.64, 7,110.45 and 1,454

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Solution

The fourth proportional to 4,741.64, 7,110.45 and 1,454 is: 2,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.64 : 7,110.45 = 1,454 : x
  2. Step 2: Convert to fraction form
    4,741.64/7,110.45 = 1,454/x
  3. Step 3: Cross multiply
    4,741.64x = 7,110.45 × 1,454
  4. Step 4: Simplify right side
    4,741.64x = 10,338,594.30
  5. Step 5: Solve for x
    x = 10,338,594.30/4,741.64
  6. Step 6: Final answer
    x = 2,180.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.