Home / 1,461.10-2,191.20-421.02

Finding the Fourth Proportional to 1,461.10, 2,191.20 and 421.02

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Solution

The fourth proportional to 1,461.10, 2,191.20 and 421.02 is: 631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.10 : 2,191.20 = 421.02 : x
  2. Step 2: Convert to fraction form
    1,461.10/2,191.20 = 421.02/x
  3. Step 3: Cross multiply
    1,461.10x = 2,191.20 × 421.02
  4. Step 4: Simplify right side
    1,461.10x = 922,539.02
  5. Step 5: Solve for x
    x = 922,539.02/1,461.10
  6. Step 6: Final answer
    x = 631.40

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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.