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Finding the Fourth Proportional to 2,666.81, 3,679.93 and 1,547.82

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Solution

The fourth proportional to 2,666.81, 3,679.93 and 1,547.82 is: 2,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.81 : 3,679.93 = 1,547.82 : x
  2. Step 2: Convert to fraction form
    2,666.81/3,679.93 = 1,547.82/x
  3. Step 3: Cross multiply
    2,666.81x = 3,679.93 × 1,547.82
  4. Step 4: Simplify right side
    2,666.81x = 5,695,869.25
  5. Step 5: Solve for x
    x = 5,695,869.25/2,666.81
  6. Step 6: Final answer
    x = 2,135.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.