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Finding the Fourth Proportional to 2,430.80, 3,647.28 and 1,566.80

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Solution

The fourth proportional to 2,430.80, 3,647.28 and 1,566.80 is: 2,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.80 : 3,647.28 = 1,566.80 : x
  2. Step 2: Convert to fraction form
    2,430.80/3,647.28 = 1,566.80/x
  3. Step 3: Cross multiply
    2,430.80x = 3,647.28 × 1,566.80
  4. Step 4: Simplify right side
    2,430.80x = 5,714,558.30
  5. Step 5: Solve for x
    x = 5,714,558.30/2,430.80
  6. Step 6: Final answer
    x = 2,350.90

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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.