Home / 2,122.32-2,929.84-1,415.36

Finding the Fourth Proportional to 2,122.32, 2,929.84 and 1,415.36

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Solution

The fourth proportional to 2,122.32, 2,929.84 and 1,415.36 is: 1,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.32 : 2,929.84 = 1,415.36 : x
  2. Step 2: Convert to fraction form
    2,122.32/2,929.84 = 1,415.36/x
  3. Step 3: Cross multiply
    2,122.32x = 2,929.84 × 1,415.36
  4. Step 4: Simplify right side
    2,122.32x = 4,146,778.34
  5. Step 5: Solve for x
    x = 4,146,778.34/2,122.32
  6. Step 6: Final answer
    x = 1,953.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.