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Finding the Fourth Proportional to 1,611.84, 2,224.74 and 1,051.35

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Solution

The fourth proportional to 1,611.84, 2,224.74 and 1,051.35 is: 1,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.84 : 2,224.74 = 1,051.35 : x
  2. Step 2: Convert to fraction form
    1,611.84/2,224.74 = 1,051.35/x
  3. Step 3: Cross multiply
    1,611.84x = 2,224.74 × 1,051.35
  4. Step 4: Simplify right side
    1,611.84x = 2,338,980.40
  5. Step 5: Solve for x
    x = 2,338,980.40/1,611.84
  6. Step 6: Final answer
    x = 1,451.12

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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.