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Finding the Fourth Proportional to 3,054, 4,214.54 and 1,656.74

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Solution

The fourth proportional to 3,054, 4,214.54 and 1,656.74 is: 2,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054 : 4,214.54 = 1,656.74 : x
  2. Step 2: Convert to fraction form
    3,054/4,214.54 = 1,656.74/x
  3. Step 3: Cross multiply
    3,054x = 4,214.54 × 1,656.74
  4. Step 4: Simplify right side
    3,054x = 6,982,397.00
  5. Step 5: Solve for x
    x = 6,982,397.00/3,054
  6. Step 6: Final answer
    x = 2,286.31

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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.