Home / 1,416.06-2,124.07-582.95

Finding the Fourth Proportional to 1,416.06, 2,124.07 and 582.95

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Solution

The fourth proportional to 1,416.06, 2,124.07 and 582.95 is: 874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.06 : 2,124.07 = 582.95 : x
  2. Step 2: Convert to fraction form
    1,416.06/2,124.07 = 582.95/x
  3. Step 3: Cross multiply
    1,416.06x = 2,124.07 × 582.95
  4. Step 4: Simplify right side
    1,416.06x = 1,238,230.46
  5. Step 5: Solve for x
    x = 1,238,230.46/1,416.06
  6. Step 6: Final answer
    x = 874.42

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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.