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Finding the Fourth Proportional to 2,457.44, 3,682.55 and 1,417.76

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Solution

The fourth proportional to 2,457.44, 3,682.55 and 1,417.76 is: 2,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.44 : 3,682.55 = 1,417.76 : x
  2. Step 2: Convert to fraction form
    2,457.44/3,682.55 = 1,417.76/x
  3. Step 3: Cross multiply
    2,457.44x = 3,682.55 × 1,417.76
  4. Step 4: Simplify right side
    2,457.44x = 5,220,957.22
  5. Step 5: Solve for x
    x = 5,220,957.22/2,457.44
  6. Step 6: Final answer
    x = 2,124.56

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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.