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Finding the Fourth Proportional to 1,663.93, 2,505.49 and 1,374.22

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Solution

The fourth proportional to 1,663.93, 2,505.49 and 1,374.22 is: 2,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.93 : 2,505.49 = 1,374.22 : x
  2. Step 2: Convert to fraction form
    1,663.93/2,505.49 = 1,374.22/x
  3. Step 3: Cross multiply
    1,663.93x = 2,505.49 × 1,374.22
  4. Step 4: Simplify right side
    1,663.93x = 3,443,094.47
  5. Step 5: Solve for x
    x = 3,443,094.47/1,663.93
  6. Step 6: Final answer
    x = 2,069.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.