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Finding the Fourth Proportional to 1,772.90, 2,445.21 and 1,539.62

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Solution

The fourth proportional to 1,772.90, 2,445.21 and 1,539.62 is: 2,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.90 : 2,445.21 = 1,539.62 : x
  2. Step 2: Convert to fraction form
    1,772.90/2,445.21 = 1,539.62/x
  3. Step 3: Cross multiply
    1,772.90x = 2,445.21 × 1,539.62
  4. Step 4: Simplify right side
    1,772.90x = 3,764,681.99
  5. Step 5: Solve for x
    x = 3,764,681.99/1,772.90
  6. Step 6: Final answer
    x = 2,123.47

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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.