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Finding the Fourth Proportional to 4,897.02, 7,342.80 and 1,609.23

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Solution

The fourth proportional to 4,897.02, 7,342.80 and 1,609.23 is: 2,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.02 : 7,342.80 = 1,609.23 : x
  2. Step 2: Convert to fraction form
    4,897.02/7,342.80 = 1,609.23/x
  3. Step 3: Cross multiply
    4,897.02x = 7,342.80 × 1,609.23
  4. Step 4: Simplify right side
    4,897.02x = 11,816,254.04
  5. Step 5: Solve for x
    x = 11,816,254.04/4,897.02
  6. Step 6: Final answer
    x = 2,412.95

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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.