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Finding the Fourth Proportional to 1,836.83, 2,530.54 and 1,503.31

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Solution

The fourth proportional to 1,836.83, 2,530.54 and 1,503.31 is: 2,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.83 : 2,530.54 = 1,503.31 : x
  2. Step 2: Convert to fraction form
    1,836.83/2,530.54 = 1,503.31/x
  3. Step 3: Cross multiply
    1,836.83x = 2,530.54 × 1,503.31
  4. Step 4: Simplify right side
    1,836.83x = 3,804,165.92
  5. Step 5: Solve for x
    x = 3,804,165.92/1,836.83
  6. Step 6: Final answer
    x = 2,071.06

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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.