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Finding the Fourth Proportional to 2,646.18, 3,648.30 and 2,055.66

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Solution

The fourth proportional to 2,646.18, 3,648.30 and 2,055.66 is: 2,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.18 : 3,648.30 = 2,055.66 : x
  2. Step 2: Convert to fraction form
    2,646.18/3,648.30 = 2,055.66/x
  3. Step 3: Cross multiply
    2,646.18x = 3,648.30 × 2,055.66
  4. Step 4: Simplify right side
    2,646.18x = 7,499,664.38
  5. Step 5: Solve for x
    x = 7,499,664.38/2,646.18
  6. Step 6: Final answer
    x = 2,834.15

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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.