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Finding the Fourth Proportional to 2,592.90, 3,578.06 and 1,473.68

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Solution

The fourth proportional to 2,592.90, 3,578.06 and 1,473.68 is: 2,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.90 : 3,578.06 = 1,473.68 : x
  2. Step 2: Convert to fraction form
    2,592.90/3,578.06 = 1,473.68/x
  3. Step 3: Cross multiply
    2,592.90x = 3,578.06 × 1,473.68
  4. Step 4: Simplify right side
    2,592.90x = 5,272,915.46
  5. Step 5: Solve for x
    x = 5,272,915.46/2,592.90
  6. Step 6: Final answer
    x = 2,033.60

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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.