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Finding the Fourth Proportional to 1,953.61, 2,931.55 and 721.88

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Solution

The fourth proportional to 1,953.61, 2,931.55 and 721.88 is: 1,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.61 : 2,931.55 = 721.88 : x
  2. Step 2: Convert to fraction form
    1,953.61/2,931.55 = 721.88/x
  3. Step 3: Cross multiply
    1,953.61x = 2,931.55 × 721.88
  4. Step 4: Simplify right side
    1,953.61x = 2,116,212.66
  5. Step 5: Solve for x
    x = 2,116,212.66/1,953.61
  6. Step 6: Final answer
    x = 1,083.23

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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.