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Finding the Fourth Proportional to 1,697.48, 2,342.44 and 951.52

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Solution

The fourth proportional to 1,697.48, 2,342.44 and 951.52 is: 1,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.48 : 2,342.44 = 951.52 : x
  2. Step 2: Convert to fraction form
    1,697.48/2,342.44 = 951.52/x
  3. Step 3: Cross multiply
    1,697.48x = 2,342.44 × 951.52
  4. Step 4: Simplify right side
    1,697.48x = 2,228,878.51
  5. Step 5: Solve for x
    x = 2,228,878.51/1,697.48
  6. Step 6: Final answer
    x = 1,313.05

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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.