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Finding the Fourth Proportional to 2,703.38, 3,731.06 and 1,656.05

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Solution

The fourth proportional to 2,703.38, 3,731.06 and 1,656.05 is: 2,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.38 : 3,731.06 = 1,656.05 : x
  2. Step 2: Convert to fraction form
    2,703.38/3,731.06 = 1,656.05/x
  3. Step 3: Cross multiply
    2,703.38x = 3,731.06 × 1,656.05
  4. Step 4: Simplify right side
    2,703.38x = 6,178,807.40
  5. Step 5: Solve for x
    x = 6,178,807.40/2,703.38
  6. Step 6: Final answer
    x = 2,285.59

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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.