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Finding the Fourth Proportional to 1,753.31, 2,615.60 and 1,705.64

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Solution

The fourth proportional to 1,753.31, 2,615.60 and 1,705.64 is: 2,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.31 : 2,615.60 = 1,705.64 : x
  2. Step 2: Convert to fraction form
    1,753.31/2,615.60 = 1,705.64/x
  3. Step 3: Cross multiply
    1,753.31x = 2,615.60 × 1,705.64
  4. Step 4: Simplify right side
    1,753.31x = 4,461,250.38
  5. Step 5: Solve for x
    x = 4,461,250.38/1,753.31
  6. Step 6: Final answer
    x = 2,544.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.