Home / 1,510.03-2,264.79-414.14

Finding the Fourth Proportional to 1,510.03, 2,264.79 and 414.14

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Solution

The fourth proportional to 1,510.03, 2,264.79 and 414.14 is: 621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.03 : 2,264.79 = 414.14 : x
  2. Step 2: Convert to fraction form
    1,510.03/2,264.79 = 414.14/x
  3. Step 3: Cross multiply
    1,510.03x = 2,264.79 × 414.14
  4. Step 4: Simplify right side
    1,510.03x = 937,940.13
  5. Step 5: Solve for x
    x = 937,940.13/1,510.03
  6. Step 6: Final answer
    x = 621.14

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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.