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Finding the Fourth Proportional to 1,578.33, 2,178.11 and 915.58

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Solution

The fourth proportional to 1,578.33, 2,178.11 and 915.58 is: 1,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.33 : 2,178.11 = 915.58 : x
  2. Step 2: Convert to fraction form
    1,578.33/2,178.11 = 915.58/x
  3. Step 3: Cross multiply
    1,578.33x = 2,178.11 × 915.58
  4. Step 4: Simplify right side
    1,578.33x = 1,994,223.93
  5. Step 5: Solve for x
    x = 1,994,223.93/1,578.33
  6. Step 6: Final answer
    x = 1,263.50

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