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Finding the Fourth Proportional to 2,047.68, 3,069.72 and 1,007.10

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Solution

The fourth proportional to 2,047.68, 3,069.72 and 1,007.10 is: 1,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.68 : 3,069.72 = 1,007.10 : x
  2. Step 2: Convert to fraction form
    2,047.68/3,069.72 = 1,007.10/x
  3. Step 3: Cross multiply
    2,047.68x = 3,069.72 × 1,007.10
  4. Step 4: Simplify right side
    2,047.68x = 3,091,515.01
  5. Step 5: Solve for x
    x = 3,091,515.01/2,047.68
  6. Step 6: Final answer
    x = 1,509.76

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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.