Home / 1,421.42-1,961.98-924.12

Finding the Fourth Proportional to 1,421.42, 1,961.98 and 924.12

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Solution

The fourth proportional to 1,421.42, 1,961.98 and 924.12 is: 1,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.42 : 1,961.98 = 924.12 : x
  2. Step 2: Convert to fraction form
    1,421.42/1,961.98 = 924.12/x
  3. Step 3: Cross multiply
    1,421.42x = 1,961.98 × 924.12
  4. Step 4: Simplify right side
    1,421.42x = 1,813,102.65
  5. Step 5: Solve for x
    x = 1,813,102.65/1,421.42
  6. Step 6: Final answer
    x = 1,275.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.