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Finding the Fourth Proportional to 2,918.02, 4,377.30 and 1,457.14

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Solution

The fourth proportional to 2,918.02, 4,377.30 and 1,457.14 is: 2,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.02 : 4,377.30 = 1,457.14 : x
  2. Step 2: Convert to fraction form
    2,918.02/4,377.30 = 1,457.14/x
  3. Step 3: Cross multiply
    2,918.02x = 4,377.30 × 1,457.14
  4. Step 4: Simplify right side
    2,918.02x = 6,378,338.92
  5. Step 5: Solve for x
    x = 6,378,338.92/2,918.02
  6. Step 6: Final answer
    x = 2,185.84

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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.