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Finding the Fourth Proportional to 4,197.80, 6,292.70 and 1,564.60

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Solution

The fourth proportional to 4,197.80, 6,292.70 and 1,564.60 is: 2,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.80 : 6,292.70 = 1,564.60 : x
  2. Step 2: Convert to fraction form
    4,197.80/6,292.70 = 1,564.60/x
  3. Step 3: Cross multiply
    4,197.80x = 6,292.70 × 1,564.60
  4. Step 4: Simplify right side
    4,197.80x = 9,845,558.42
  5. Step 5: Solve for x
    x = 9,845,558.42/4,197.80
  6. Step 6: Final answer
    x = 2,345.41

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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.