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Finding the Fourth Proportional to 1,988.04, 2,983.14 and 949.08

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Solution

The fourth proportional to 1,988.04, 2,983.14 and 949.08 is: 1,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.04 : 2,983.14 = 949.08 : x
  2. Step 2: Convert to fraction form
    1,988.04/2,983.14 = 949.08/x
  3. Step 3: Cross multiply
    1,988.04x = 2,983.14 × 949.08
  4. Step 4: Simplify right side
    1,988.04x = 2,831,238.51
  5. Step 5: Solve for x
    x = 2,831,238.51/1,988.04
  6. Step 6: Final answer
    x = 1,424.14

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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.