Home / 1,415.86-2,122.58-1,106.76

Finding the Fourth Proportional to 1,415.86, 2,122.58 and 1,106.76

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Solution

The fourth proportional to 1,415.86, 2,122.58 and 1,106.76 is: 1,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.86 : 2,122.58 = 1,106.76 : x
  2. Step 2: Convert to fraction form
    1,415.86/2,122.58 = 1,106.76/x
  3. Step 3: Cross multiply
    1,415.86x = 2,122.58 × 1,106.76
  4. Step 4: Simplify right side
    1,415.86x = 2,349,186.64
  5. Step 5: Solve for x
    x = 2,349,186.64/1,415.86
  6. Step 6: Final answer
    x = 1,659.19

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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.