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Finding the Fourth Proportional to 2,688.84, 4,006.89 and 2,666.16

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Solution

The fourth proportional to 2,688.84, 4,006.89 and 2,666.16 is: 3,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.84 : 4,006.89 = 2,666.16 : x
  2. Step 2: Convert to fraction form
    2,688.84/4,006.89 = 2,666.16/x
  3. Step 3: Cross multiply
    2,688.84x = 4,006.89 × 2,666.16
  4. Step 4: Simplify right side
    2,688.84x = 10,683,009.84
  5. Step 5: Solve for x
    x = 10,683,009.84/2,688.84
  6. Step 6: Final answer
    x = 3,973.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.