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Finding the Fourth Proportional to 1,980.34, 2,973.24 and 1,007.12

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Solution

The fourth proportional to 1,980.34, 2,973.24 and 1,007.12 is: 1,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.34 : 2,973.24 = 1,007.12 : x
  2. Step 2: Convert to fraction form
    1,980.34/2,973.24 = 1,007.12/x
  3. Step 3: Cross multiply
    1,980.34x = 2,973.24 × 1,007.12
  4. Step 4: Simplify right side
    1,980.34x = 2,994,409.47
  5. Step 5: Solve for x
    x = 2,994,409.47/1,980.34
  6. Step 6: Final answer
    x = 1,512.07

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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.