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Finding the Fourth Proportional to 1,705.63, 2,353.18 and 997.36

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Solution

The fourth proportional to 1,705.63, 2,353.18 and 997.36 is: 1,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.63 : 2,353.18 = 997.36 : x
  2. Step 2: Convert to fraction form
    1,705.63/2,353.18 = 997.36/x
  3. Step 3: Cross multiply
    1,705.63x = 2,353.18 × 997.36
  4. Step 4: Simplify right side
    1,705.63x = 2,346,967.60
  5. Step 5: Solve for x
    x = 2,346,967.60/1,705.63
  6. Step 6: Final answer
    x = 1,376.01

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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.