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Finding the Fourth Proportional to 1,835.80, 2,534.05 and 1,090.40

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Solution

The fourth proportional to 1,835.80, 2,534.05 and 1,090.40 is: 1,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.80 : 2,534.05 = 1,090.40 : x
  2. Step 2: Convert to fraction form
    1,835.80/2,534.05 = 1,090.40/x
  3. Step 3: Cross multiply
    1,835.80x = 2,534.05 × 1,090.40
  4. Step 4: Simplify right side
    1,835.80x = 2,763,120.18
  5. Step 5: Solve for x
    x = 2,763,120.18/1,835.80
  6. Step 6: Final answer
    x = 1,505.13

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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.