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Finding the Fourth Proportional to 1,521, 2,270.25 and 1,484.16

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Solution

The fourth proportional to 1,521, 2,270.25 and 1,484.16 is: 2,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521 : 2,270.25 = 1,484.16 : x
  2. Step 2: Convert to fraction form
    1,521/2,270.25 = 1,484.16/x
  3. Step 3: Cross multiply
    1,521x = 2,270.25 × 1,484.16
  4. Step 4: Simplify right side
    1,521x = 3,369,414.24
  5. Step 5: Solve for x
    x = 3,369,414.24/1,521
  6. Step 6: Final answer
    x = 2,215.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.