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Finding the Fourth Proportional to 1,971.84, 2,952.64 and 1,357.44

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Solution

The fourth proportional to 1,971.84, 2,952.64 and 1,357.44 is: 2,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.84 : 2,952.64 = 1,357.44 : x
  2. Step 2: Convert to fraction form
    1,971.84/2,952.64 = 1,357.44/x
  3. Step 3: Cross multiply
    1,971.84x = 2,952.64 × 1,357.44
  4. Step 4: Simplify right side
    1,971.84x = 4,008,031.64
  5. Step 5: Solve for x
    x = 4,008,031.64/1,971.84
  6. Step 6: Final answer
    x = 2,032.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.