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Finding the Fourth Proportional to 1,826.56, 2,752.18 and 1,509.04

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Solution

The fourth proportional to 1,826.56, 2,752.18 and 1,509.04 is: 2,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.56 : 2,752.18 = 1,509.04 : x
  2. Step 2: Convert to fraction form
    1,826.56/2,752.18 = 1,509.04/x
  3. Step 3: Cross multiply
    1,826.56x = 2,752.18 × 1,509.04
  4. Step 4: Simplify right side
    1,826.56x = 4,153,149.71
  5. Step 5: Solve for x
    x = 4,153,149.71/1,826.56
  6. Step 6: Final answer
    x = 2,273.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.