Home / 1,543.20-2,312.10-965.40

Finding the Fourth Proportional to 1,543.20, 2,312.10 and 965.40

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Solution

The fourth proportional to 1,543.20, 2,312.10 and 965.40 is: 1,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.20 : 2,312.10 = 965.40 : x
  2. Step 2: Convert to fraction form
    1,543.20/2,312.10 = 965.40/x
  3. Step 3: Cross multiply
    1,543.20x = 2,312.10 × 965.40
  4. Step 4: Simplify right side
    1,543.20x = 2,232,101.34
  5. Step 5: Solve for x
    x = 2,232,101.34/1,543.20
  6. Step 6: Final answer
    x = 1,446.41

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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.