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Finding the Fourth Proportional to 1,953.38, 2,929.84 and 654.95

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Solution

The fourth proportional to 1,953.38, 2,929.84 and 654.95 is: 982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.38 : 2,929.84 = 654.95 : x
  2. Step 2: Convert to fraction form
    1,953.38/2,929.84 = 654.95/x
  3. Step 3: Cross multiply
    1,953.38x = 2,929.84 × 654.95
  4. Step 4: Simplify right side
    1,953.38x = 1,918,904.40
  5. Step 5: Solve for x
    x = 1,918,904.40/1,953.38
  6. Step 6: Final answer
    x = 982.35

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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.