Home / 2,142.08-3,214.20-1,031.24

Finding the Fourth Proportional to 2,142.08, 3,214.20 and 1,031.24

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Solution

The fourth proportional to 2,142.08, 3,214.20 and 1,031.24 is: 1,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.08 : 3,214.20 = 1,031.24 : x
  2. Step 2: Convert to fraction form
    2,142.08/3,214.20 = 1,031.24/x
  3. Step 3: Cross multiply
    2,142.08x = 3,214.20 × 1,031.24
  4. Step 4: Simplify right side
    2,142.08x = 3,314,611.61
  5. Step 5: Solve for x
    x = 3,314,611.61/2,142.08
  6. Step 6: Final answer
    x = 1,547.38

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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.