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Finding the Fourth Proportional to 1,461.96, 2,014.02 and 1,225.44

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Solution

The fourth proportional to 1,461.96, 2,014.02 and 1,225.44 is: 1,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.96 : 2,014.02 = 1,225.44 : x
  2. Step 2: Convert to fraction form
    1,461.96/2,014.02 = 1,225.44/x
  3. Step 3: Cross multiply
    1,461.96x = 2,014.02 × 1,225.44
  4. Step 4: Simplify right side
    1,461.96x = 2,468,060.67
  5. Step 5: Solve for x
    x = 2,468,060.67/1,461.96
  6. Step 6: Final answer
    x = 1,688.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.