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Finding the Fourth Proportional to 2,457.27, 3,686.49 and 898.11

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Solution

The fourth proportional to 2,457.27, 3,686.49 and 898.11 is: 1,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.27 : 3,686.49 = 898.11 : x
  2. Step 2: Convert to fraction form
    2,457.27/3,686.49 = 898.11/x
  3. Step 3: Cross multiply
    2,457.27x = 3,686.49 × 898.11
  4. Step 4: Simplify right side
    2,457.27x = 3,310,873.53
  5. Step 5: Solve for x
    x = 3,310,873.53/2,457.27
  6. Step 6: Final answer
    x = 1,347.38

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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.