Home / 1,416.42-2,125.08-442.62

Finding the Fourth Proportional to 1,416.42, 2,125.08 and 442.62

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Solution

The fourth proportional to 1,416.42, 2,125.08 and 442.62 is: 664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.42 : 2,125.08 = 442.62 : x
  2. Step 2: Convert to fraction form
    1,416.42/2,125.08 = 442.62/x
  3. Step 3: Cross multiply
    1,416.42x = 2,125.08 × 442.62
  4. Step 4: Simplify right side
    1,416.42x = 940,602.91
  5. Step 5: Solve for x
    x = 940,602.91/1,416.42
  6. Step 6: Final answer
    x = 664.07

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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.