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Finding the Fourth Proportional to 2,666.37, 3,680.39 and 1,547.81

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Solution

The fourth proportional to 2,666.37, 3,680.39 and 1,547.81 is: 2,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.37 : 3,680.39 = 1,547.81 : x
  2. Step 2: Convert to fraction form
    2,666.37/3,680.39 = 1,547.81/x
  3. Step 3: Cross multiply
    2,666.37x = 3,680.39 × 1,547.81
  4. Step 4: Simplify right side
    2,666.37x = 5,696,544.45
  5. Step 5: Solve for x
    x = 5,696,544.45/2,666.37
  6. Step 6: Final answer
    x = 2,136.44

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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.