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Finding the Fourth Proportional to 2,930.32, 4,395.66 and 982

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Solution

The fourth proportional to 2,930.32, 4,395.66 and 982 is: 1,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.32 : 4,395.66 = 982 : x
  2. Step 2: Convert to fraction form
    2,930.32/4,395.66 = 982/x
  3. Step 3: Cross multiply
    2,930.32x = 4,395.66 × 982
  4. Step 4: Simplify right side
    2,930.32x = 4,316,538.12
  5. Step 5: Solve for x
    x = 4,316,538.12/2,930.32
  6. Step 6: Final answer
    x = 1,473.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.