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Finding the Fourth Proportional to 1,404.46, 2,104.36 and 854.98

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Solution

The fourth proportional to 1,404.46, 2,104.36 and 854.98 is: 1,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.46 : 2,104.36 = 854.98 : x
  2. Step 2: Convert to fraction form
    1,404.46/2,104.36 = 854.98/x
  3. Step 3: Cross multiply
    1,404.46x = 2,104.36 × 854.98
  4. Step 4: Simplify right side
    1,404.46x = 1,799,185.71
  5. Step 5: Solve for x
    x = 1,799,185.71/1,404.46
  6. Step 6: Final answer
    x = 1,281.05

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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.