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Finding the Fourth Proportional to 3,173.62, 4,762.14 and 1,507.36

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Solution

The fourth proportional to 3,173.62, 4,762.14 and 1,507.36 is: 2,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.62 : 4,762.14 = 1,507.36 : x
  2. Step 2: Convert to fraction form
    3,173.62/4,762.14 = 1,507.36/x
  3. Step 3: Cross multiply
    3,173.62x = 4,762.14 × 1,507.36
  4. Step 4: Simplify right side
    3,173.62x = 7,178,259.35
  5. Step 5: Solve for x
    x = 7,178,259.35/3,173.62
  6. Step 6: Final answer
    x = 2,261.85

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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.