Home / 1,461.08-2,191.45-421.06

Finding the Fourth Proportional to 1,461.08, 2,191.45 and 421.06

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Solution

The fourth proportional to 1,461.08, 2,191.45 and 421.06 is: 631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.08 : 2,191.45 = 421.06 : x
  2. Step 2: Convert to fraction form
    1,461.08/2,191.45 = 421.06/x
  3. Step 3: Cross multiply
    1,461.08x = 2,191.45 × 421.06
  4. Step 4: Simplify right side
    1,461.08x = 922,729.83
  5. Step 5: Solve for x
    x = 922,729.83/1,461.08
  6. Step 6: Final answer
    x = 631.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.