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Finding the Fourth Proportional to 2,688.42, 3,710.10 and 1,509.42

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Solution

The fourth proportional to 2,688.42, 3,710.10 and 1,509.42 is: 2,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.42 : 3,710.10 = 1,509.42 : x
  2. Step 2: Convert to fraction form
    2,688.42/3,710.10 = 1,509.42/x
  3. Step 3: Cross multiply
    2,688.42x = 3,710.10 × 1,509.42
  4. Step 4: Simplify right side
    2,688.42x = 5,600,099.14
  5. Step 5: Solve for x
    x = 5,600,099.14/2,688.42
  6. Step 6: Final answer
    x = 2,083.04

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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.