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Finding the Fourth Proportional to 1,953.31, 2,929.34 and 654.47

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Solution

The fourth proportional to 1,953.31, 2,929.34 and 654.47 is: 981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.31 : 2,929.34 = 654.47 : x
  2. Step 2: Convert to fraction form
    1,953.31/2,929.34 = 654.47/x
  3. Step 3: Cross multiply
    1,953.31x = 2,929.34 × 654.47
  4. Step 4: Simplify right side
    1,953.31x = 1,917,174.11
  5. Step 5: Solve for x
    x = 1,917,174.11/1,953.31
  6. Step 6: Final answer
    x = 981.50

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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.