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Finding the Fourth Proportional to 3,154.53, 4,728.44 and 1,507.59

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Solution

The fourth proportional to 3,154.53, 4,728.44 and 1,507.59 is: 2,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.53 : 4,728.44 = 1,507.59 : x
  2. Step 2: Convert to fraction form
    3,154.53/4,728.44 = 1,507.59/x
  3. Step 3: Cross multiply
    3,154.53x = 4,728.44 × 1,507.59
  4. Step 4: Simplify right side
    3,154.53x = 7,128,541.32
  5. Step 5: Solve for x
    x = 7,128,541.32/3,154.53
  6. Step 6: Final answer
    x = 2,259.78

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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.