Home / 1,316.47-1,974.26-1,024.30

Finding the Fourth Proportional to 1,316.47, 1,974.26 and 1,024.30

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Solution

The fourth proportional to 1,316.47, 1,974.26 and 1,024.30 is: 1,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.47 : 1,974.26 = 1,024.30 : x
  2. Step 2: Convert to fraction form
    1,316.47/1,974.26 = 1,024.30/x
  3. Step 3: Cross multiply
    1,316.47x = 1,974.26 × 1,024.30
  4. Step 4: Simplify right side
    1,316.47x = 2,022,232.14
  5. Step 5: Solve for x
    x = 2,022,232.14/1,316.47
  6. Step 6: Final answer
    x = 1,536.10

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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.