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Finding the Fourth Proportional to 4,897.85, 7,345.22 and 1,610.18

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Solution

The fourth proportional to 4,897.85, 7,345.22 and 1,610.18 is: 2,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.85 : 7,345.22 = 1,610.18 : x
  2. Step 2: Convert to fraction form
    4,897.85/7,345.22 = 1,610.18/x
  3. Step 3: Cross multiply
    4,897.85x = 7,345.22 × 1,610.18
  4. Step 4: Simplify right side
    4,897.85x = 11,827,081.56
  5. Step 5: Solve for x
    x = 11,827,081.56/4,897.85
  6. Step 6: Final answer
    x = 2,414.75

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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.