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Finding the Fourth Proportional to 3,173.47, 4,758.61 and 1,507.10

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Solution

The fourth proportional to 3,173.47, 4,758.61 and 1,507.10 is: 2,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.47 : 4,758.61 = 1,507.10 : x
  2. Step 2: Convert to fraction form
    3,173.47/4,758.61 = 1,507.10/x
  3. Step 3: Cross multiply
    3,173.47x = 4,758.61 × 1,507.10
  4. Step 4: Simplify right side
    3,173.47x = 7,171,673.57
  5. Step 5: Solve for x
    x = 7,171,673.57/3,173.47
  6. Step 6: Final answer
    x = 2,259.89

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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.