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Finding the Fourth Proportional to 2,866.48, 4,306.20 and 1,567.60

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Solution

The fourth proportional to 2,866.48, 4,306.20 and 1,567.60 is: 2,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.48 : 4,306.20 = 1,567.60 : x
  2. Step 2: Convert to fraction form
    2,866.48/4,306.20 = 1,567.60/x
  3. Step 3: Cross multiply
    2,866.48x = 4,306.20 × 1,567.60
  4. Step 4: Simplify right side
    2,866.48x = 6,750,399.12
  5. Step 5: Solve for x
    x = 6,750,399.12/2,866.48
  6. Step 6: Final answer
    x = 2,354.94

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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.