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Finding the Fourth Proportional to 1,826.04, 2,509.71 and 1,713.72

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Solution

The fourth proportional to 1,826.04, 2,509.71 and 1,713.72 is: 2,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.04 : 2,509.71 = 1,713.72 : x
  2. Step 2: Convert to fraction form
    1,826.04/2,509.71 = 1,713.72/x
  3. Step 3: Cross multiply
    1,826.04x = 2,509.71 × 1,713.72
  4. Step 4: Simplify right side
    1,826.04x = 4,300,940.22
  5. Step 5: Solve for x
    x = 4,300,940.22/1,826.04
  6. Step 6: Final answer
    x = 2,355.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.