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Finding the Fourth Proportional to 1,425.60, 1,966.96 and 1,326.50

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Solution

The fourth proportional to 1,425.60, 1,966.96 and 1,326.50 is: 1,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.60 : 1,966.96 = 1,326.50 : x
  2. Step 2: Convert to fraction form
    1,425.60/1,966.96 = 1,326.50/x
  3. Step 3: Cross multiply
    1,425.60x = 1,966.96 × 1,326.50
  4. Step 4: Simplify right side
    1,425.60x = 2,609,172.44
  5. Step 5: Solve for x
    x = 2,609,172.44/1,425.60
  6. Step 6: Final answer
    x = 1,830.23

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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.