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Finding the Fourth Proportional to 2,646.33, 3,952.10 and 2,127.12

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Solution

The fourth proportional to 2,646.33, 3,952.10 and 2,127.12 is: 3,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.33 : 3,952.10 = 2,127.12 : x
  2. Step 2: Convert to fraction form
    2,646.33/3,952.10 = 2,127.12/x
  3. Step 3: Cross multiply
    2,646.33x = 3,952.10 × 2,127.12
  4. Step 4: Simplify right side
    2,646.33x = 8,406,580.32
  5. Step 5: Solve for x
    x = 8,406,580.32/2,646.33
  6. Step 6: Final answer
    x = 3,176.69

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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.