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Finding the Fourth Proportional to 1,525.69, 2,116.97 and 1,464

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Solution

The fourth proportional to 1,525.69, 2,116.97 and 1,464 is: 2,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.69 : 2,116.97 = 1,464 : x
  2. Step 2: Convert to fraction form
    1,525.69/2,116.97 = 1,464/x
  3. Step 3: Cross multiply
    1,525.69x = 2,116.97 × 1,464
  4. Step 4: Simplify right side
    1,525.69x = 3,099,244.08
  5. Step 5: Solve for x
    x = 3,099,244.08/1,525.69
  6. Step 6: Final answer
    x = 2,031.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.