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Finding the Fourth Proportional to 2,847.60, 4,264.56 and 1,457.28

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Solution

The fourth proportional to 2,847.60, 4,264.56 and 1,457.28 is: 2,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.60 : 4,264.56 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    2,847.60/4,264.56 = 1,457.28/x
  3. Step 3: Cross multiply
    2,847.60x = 4,264.56 × 1,457.28
  4. Step 4: Simplify right side
    2,847.60x = 6,214,658.00
  5. Step 5: Solve for x
    x = 6,214,658.00/2,847.60
  6. Step 6: Final answer
    x = 2,182.42

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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.