Home / 1,510.14-2,264.92-414.24

Finding the Fourth Proportional to 1,510.14, 2,264.92 and 414.24

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Solution

The fourth proportional to 1,510.14, 2,264.92 and 414.24 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.14 : 2,264.92 = 414.24 : x
  2. Step 2: Convert to fraction form
    1,510.14/2,264.92 = 414.24/x
  3. Step 3: Cross multiply
    1,510.14x = 2,264.92 × 414.24
  4. Step 4: Simplify right side
    1,510.14x = 938,220.46
  5. Step 5: Solve for x
    x = 938,220.46/1,510.14
  6. Step 6: Final answer
    x = 621.28

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1.5x scale

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.