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Finding the Fourth Proportional to 2,678.96, 3,696.96 and 1,500.02

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Solution

The fourth proportional to 2,678.96, 3,696.96 and 1,500.02 is: 2,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.96 : 3,696.96 = 1,500.02 : x
  2. Step 2: Convert to fraction form
    2,678.96/3,696.96 = 1,500.02/x
  3. Step 3: Cross multiply
    2,678.96x = 3,696.96 × 1,500.02
  4. Step 4: Simplify right side
    2,678.96x = 5,545,513.94
  5. Step 5: Solve for x
    x = 5,545,513.94/2,678.96
  6. Step 6: Final answer
    x = 2,070.02

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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.