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Finding the Fourth Proportional to 2,688.32, 3,709.84 and 1,509.44

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Solution

The fourth proportional to 2,688.32, 3,709.84 and 1,509.44 is: 2,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.32 : 3,709.84 = 1,509.44 : x
  2. Step 2: Convert to fraction form
    2,688.32/3,709.84 = 1,509.44/x
  3. Step 3: Cross multiply
    2,688.32x = 3,709.84 × 1,509.44
  4. Step 4: Simplify right side
    2,688.32x = 5,599,780.89
  5. Step 5: Solve for x
    x = 5,599,780.89/2,688.32
  6. Step 6: Final answer
    x = 2,083.00

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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.