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Finding the Fourth Proportional to 1,281.41, 1,925.19 and 820.09

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Solution

The fourth proportional to 1,281.41, 1,925.19 and 820.09 is: 1,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.41 : 1,925.19 = 820.09 : x
  2. Step 2: Convert to fraction form
    1,281.41/1,925.19 = 820.09/x
  3. Step 3: Cross multiply
    1,281.41x = 1,925.19 × 820.09
  4. Step 4: Simplify right side
    1,281.41x = 1,578,829.07
  5. Step 5: Solve for x
    x = 1,578,829.07/1,281.41
  6. Step 6: Final answer
    x = 1,232.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.