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Finding the Fourth Proportional to 2,047.51, 2,826.96 and 1,574.57

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Solution

The fourth proportional to 2,047.51, 2,826.96 and 1,574.57 is: 2,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.51 : 2,826.96 = 1,574.57 : x
  2. Step 2: Convert to fraction form
    2,047.51/2,826.96 = 1,574.57/x
  3. Step 3: Cross multiply
    2,047.51x = 2,826.96 × 1,574.57
  4. Step 4: Simplify right side
    2,047.51x = 4,451,246.41
  5. Step 5: Solve for x
    x = 4,451,246.41/2,047.51
  6. Step 6: Final answer
    x = 2,173.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.