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Finding the Fourth Proportional to 1,510.16, 2,264.88 and 414.44

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Solution

The fourth proportional to 1,510.16, 2,264.88 and 414.44 is: 621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.16 : 2,264.88 = 414.44 : x
  2. Step 2: Convert to fraction form
    1,510.16/2,264.88 = 414.44/x
  3. Step 3: Cross multiply
    1,510.16x = 2,264.88 × 414.44
  4. Step 4: Simplify right side
    1,510.16x = 938,656.87
  5. Step 5: Solve for x
    x = 938,656.87/1,510.16
  6. Step 6: Final answer
    x = 621.56

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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.