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Finding the Fourth Proportional to 3,097.64, 4,646.01 and 1,017.72

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Solution

The fourth proportional to 3,097.64, 4,646.01 and 1,017.72 is: 1,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.64 : 4,646.01 = 1,017.72 : x
  2. Step 2: Convert to fraction form
    3,097.64/4,646.01 = 1,017.72/x
  3. Step 3: Cross multiply
    3,097.64x = 4,646.01 × 1,017.72
  4. Step 4: Simplify right side
    3,097.64x = 4,728,353.36
  5. Step 5: Solve for x
    x = 4,728,353.36/3,097.64
  6. Step 6: Final answer
    x = 1,526.44

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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.