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Finding the Fourth Proportional to 4,776.90, 7,162.80 and 1,656.11

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Solution

The fourth proportional to 4,776.90, 7,162.80 and 1,656.11 is: 2,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.90 : 7,162.80 = 1,656.11 : x
  2. Step 2: Convert to fraction form
    4,776.90/7,162.80 = 1,656.11/x
  3. Step 3: Cross multiply
    4,776.90x = 7,162.80 × 1,656.11
  4. Step 4: Simplify right side
    4,776.90x = 11,862,348.89
  5. Step 5: Solve for x
    x = 11,862,348.89/4,776.90
  6. Step 6: Final answer
    x = 2,483.27

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