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Finding the Fourth Proportional to 1,835.49, 2,533.50 and 1,089.74

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Solution

The fourth proportional to 1,835.49, 2,533.50 and 1,089.74 is: 1,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.49 : 2,533.50 = 1,089.74 : x
  2. Step 2: Convert to fraction form
    1,835.49/2,533.50 = 1,089.74/x
  3. Step 3: Cross multiply
    1,835.49x = 2,533.50 × 1,089.74
  4. Step 4: Simplify right side
    1,835.49x = 2,760,862.13
  5. Step 5: Solve for x
    x = 2,760,862.13/1,835.49
  6. Step 6: Final answer
    x = 1,504.16

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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.