Home / 1,582.94-2,185.06-1,416.86

Finding the Fourth Proportional to 1,582.94, 2,185.06 and 1,416.86

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Solution

The fourth proportional to 1,582.94, 2,185.06 and 1,416.86 is: 1,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.94 : 2,185.06 = 1,416.86 : x
  2. Step 2: Convert to fraction form
    1,582.94/2,185.06 = 1,416.86/x
  3. Step 3: Cross multiply
    1,582.94x = 2,185.06 × 1,416.86
  4. Step 4: Simplify right side
    1,582.94x = 3,095,913.19
  5. Step 5: Solve for x
    x = 3,095,913.19/1,582.94
  6. Step 6: Final answer
    x = 1,955.81

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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.