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Finding the Fourth Proportional to 1,884.82, 2,600.77 and 1,056.66

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Solution

The fourth proportional to 1,884.82, 2,600.77 and 1,056.66 is: 1,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.82 : 2,600.77 = 1,056.66 : x
  2. Step 2: Convert to fraction form
    1,884.82/2,600.77 = 1,056.66/x
  3. Step 3: Cross multiply
    1,884.82x = 2,600.77 × 1,056.66
  4. Step 4: Simplify right side
    1,884.82x = 2,748,129.63
  5. Step 5: Solve for x
    x = 2,748,129.63/1,884.82
  6. Step 6: Final answer
    x = 1,458.03

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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.