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Finding the Fourth Proportional to 1,578.21, 2,178.02 and 915.06

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Solution

The fourth proportional to 1,578.21, 2,178.02 and 915.06 is: 1,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.21 : 2,178.02 = 915.06 : x
  2. Step 2: Convert to fraction form
    1,578.21/2,178.02 = 915.06/x
  3. Step 3: Cross multiply
    1,578.21x = 2,178.02 × 915.06
  4. Step 4: Simplify right side
    1,578.21x = 1,993,018.98
  5. Step 5: Solve for x
    x = 1,993,018.98/1,578.21
  6. Step 6: Final answer
    x = 1,262.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.