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Finding the Fourth Proportional to 2,990.51, 4,484.72 and 1,142.14

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Solution

The fourth proportional to 2,990.51, 4,484.72 and 1,142.14 is: 1,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.51 : 4,484.72 = 1,142.14 : x
  2. Step 2: Convert to fraction form
    2,990.51/4,484.72 = 1,142.14/x
  3. Step 3: Cross multiply
    2,990.51x = 4,484.72 × 1,142.14
  4. Step 4: Simplify right side
    2,990.51x = 5,122,178.10
  5. Step 5: Solve for x
    x = 5,122,178.10/2,990.51
  6. Step 6: Final answer
    x = 1,712.81

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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.