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Finding the Fourth Proportional to 1,507.18, 2,080.83 and 983.02

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Solution

The fourth proportional to 1,507.18, 2,080.83 and 983.02 is: 1,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.18 : 2,080.83 = 983.02 : x
  2. Step 2: Convert to fraction form
    1,507.18/2,080.83 = 983.02/x
  3. Step 3: Cross multiply
    1,507.18x = 2,080.83 × 983.02
  4. Step 4: Simplify right side
    1,507.18x = 2,045,497.51
  5. Step 5: Solve for x
    x = 2,045,497.51/1,507.18
  6. Step 6: Final answer
    x = 1,357.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.