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Finding the Fourth Proportional to 1,681.17, 2,521.75 and 448.59

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Solution

The fourth proportional to 1,681.17, 2,521.75 and 448.59 is: 672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.17 : 2,521.75 = 448.59 : x
  2. Step 2: Convert to fraction form
    1,681.17/2,521.75 = 448.59/x
  3. Step 3: Cross multiply
    1,681.17x = 2,521.75 × 448.59
  4. Step 4: Simplify right side
    1,681.17x = 1,131,219.22
  5. Step 5: Solve for x
    x = 1,131,219.22/1,681.17
  6. Step 6: Final answer
    x = 672.88

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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.