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Finding the Fourth Proportional to 1,614.94, 2,225.14 and 1,116.69

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Solution

The fourth proportional to 1,614.94, 2,225.14 and 1,116.69 is: 1,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.94 : 2,225.14 = 1,116.69 : x
  2. Step 2: Convert to fraction form
    1,614.94/2,225.14 = 1,116.69/x
  3. Step 3: Cross multiply
    1,614.94x = 2,225.14 × 1,116.69
  4. Step 4: Simplify right side
    1,614.94x = 2,484,780.45
  5. Step 5: Solve for x
    x = 2,484,780.45/1,614.94
  6. Step 6: Final answer
    x = 1,538.62

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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.