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Finding the Fourth Proportional to 1,816.90, 2,505.90 and 1,537.90

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Solution

The fourth proportional to 1,816.90, 2,505.90 and 1,537.90 is: 2,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.90 : 2,505.90 = 1,537.90 : x
  2. Step 2: Convert to fraction form
    1,816.90/2,505.90 = 1,537.90/x
  3. Step 3: Cross multiply
    1,816.90x = 2,505.90 × 1,537.90
  4. Step 4: Simplify right side
    1,816.90x = 3,853,823.61
  5. Step 5: Solve for x
    x = 3,853,823.61/1,816.90
  6. Step 6: Final answer
    x = 2,121.10

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Why These Related Problems?

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