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Finding the Fourth Proportional to 4,734.78, 7,102.14 and 1,656.78

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Solution

The fourth proportional to 4,734.78, 7,102.14 and 1,656.78 is: 2,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.78 : 7,102.14 = 1,656.78 : x
  2. Step 2: Convert to fraction form
    4,734.78/7,102.14 = 1,656.78/x
  3. Step 3: Cross multiply
    4,734.78x = 7,102.14 × 1,656.78
  4. Step 4: Simplify right side
    4,734.78x = 11,766,683.51
  5. Step 5: Solve for x
    x = 11,766,683.51/4,734.78
  6. Step 6: Final answer
    x = 2,485.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.