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Finding the Fourth Proportional to 1,953.32, 2,929.05 and 653.87

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Solution

The fourth proportional to 1,953.32, 2,929.05 and 653.87 is: 980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.32 : 2,929.05 = 653.87 : x
  2. Step 2: Convert to fraction form
    1,953.32/2,929.05 = 653.87/x
  3. Step 3: Cross multiply
    1,953.32x = 2,929.05 × 653.87
  4. Step 4: Simplify right side
    1,953.32x = 1,915,217.92
  5. Step 5: Solve for x
    x = 1,915,217.92/1,953.32
  6. Step 6: Final answer
    x = 980.49

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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.