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Finding the Fourth Proportional to 1,893.75, 2,841.90 and 661.14

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Solution

The fourth proportional to 1,893.75, 2,841.90 and 661.14 is: 992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.75 : 2,841.90 = 661.14 : x
  2. Step 2: Convert to fraction form
    1,893.75/2,841.90 = 661.14/x
  3. Step 3: Cross multiply
    1,893.75x = 2,841.90 × 661.14
  4. Step 4: Simplify right side
    1,893.75x = 1,878,893.77
  5. Step 5: Solve for x
    x = 1,878,893.77/1,893.75
  6. Step 6: Final answer
    x = 992.16

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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.