Home / 2,277.32-3,415.02-961.66

Finding the Fourth Proportional to 2,277.32, 3,415.02 and 961.66

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Solution

The fourth proportional to 2,277.32, 3,415.02 and 961.66 is: 1,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.32 : 3,415.02 = 961.66 : x
  2. Step 2: Convert to fraction form
    2,277.32/3,415.02 = 961.66/x
  3. Step 3: Cross multiply
    2,277.32x = 3,415.02 × 961.66
  4. Step 4: Simplify right side
    2,277.32x = 3,284,088.13
  5. Step 5: Solve for x
    x = 3,284,088.13/2,277.32
  6. Step 6: Final answer
    x = 1,442.08

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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.