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Finding the Fourth Proportional to 1,522.11, 2,281.65 and 700.98

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Solution

The fourth proportional to 1,522.11, 2,281.65 and 700.98 is: 1,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.11 : 2,281.65 = 700.98 : x
  2. Step 2: Convert to fraction form
    1,522.11/2,281.65 = 700.98/x
  3. Step 3: Cross multiply
    1,522.11x = 2,281.65 × 700.98
  4. Step 4: Simplify right side
    1,522.11x = 1,599,391.02
  5. Step 5: Solve for x
    x = 1,599,391.02/1,522.11
  6. Step 6: Final answer
    x = 1,050.77

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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.