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Finding the Fourth Proportional to 2,690.71, 4,037.58 and 1,047.05

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Solution

The fourth proportional to 2,690.71, 4,037.58 and 1,047.05 is: 1,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.71 : 4,037.58 = 1,047.05 : x
  2. Step 2: Convert to fraction form
    2,690.71/4,037.58 = 1,047.05/x
  3. Step 3: Cross multiply
    2,690.71x = 4,037.58 × 1,047.05
  4. Step 4: Simplify right side
    2,690.71x = 4,227,527.95
  5. Step 5: Solve for x
    x = 4,227,527.95/2,690.71
  6. Step 6: Final answer
    x = 1,571.16

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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.