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Finding the Fourth Proportional to 1,655.77, 2,284.14 and 992.47

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Solution

The fourth proportional to 1,655.77, 2,284.14 and 992.47 is: 1,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.77 : 2,284.14 = 992.47 : x
  2. Step 2: Convert to fraction form
    1,655.77/2,284.14 = 992.47/x
  3. Step 3: Cross multiply
    1,655.77x = 2,284.14 × 992.47
  4. Step 4: Simplify right side
    1,655.77x = 2,266,940.43
  5. Step 5: Solve for x
    x = 2,266,940.43/1,655.77
  6. Step 6: Final answer
    x = 1,369.12

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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.