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Finding the Fourth Proportional to 3,053.63, 4,214.03 and 1,656.38

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Solution

The fourth proportional to 3,053.63, 4,214.03 and 1,656.38 is: 2,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.63 : 4,214.03 = 1,656.38 : x
  2. Step 2: Convert to fraction form
    3,053.63/4,214.03 = 1,656.38/x
  3. Step 3: Cross multiply
    3,053.63x = 4,214.03 × 1,656.38
  4. Step 4: Simplify right side
    3,053.63x = 6,980,005.66
  5. Step 5: Solve for x
    x = 6,980,005.66/3,053.63
  6. Step 6: Final answer
    x = 2,285.81

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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.