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Finding the Fourth Proportional to 1,816.03, 2,505.36 and 1,117

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Solution

The fourth proportional to 1,816.03, 2,505.36 and 1,117 is: 1,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.03 : 2,505.36 = 1,117 : x
  2. Step 2: Convert to fraction form
    1,816.03/2,505.36 = 1,117/x
  3. Step 3: Cross multiply
    1,816.03x = 2,505.36 × 1,117
  4. Step 4: Simplify right side
    1,816.03x = 2,798,487.12
  5. Step 5: Solve for x
    x = 2,798,487.12/1,816.03
  6. Step 6: Final answer
    x = 1,540.99

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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.