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Finding the Fourth Proportional to 1,354.56, 1,866.56 and 881.93

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Solution

The fourth proportional to 1,354.56, 1,866.56 and 881.93 is: 1,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.56 : 1,866.56 = 881.93 : x
  2. Step 2: Convert to fraction form
    1,354.56/1,866.56 = 881.93/x
  3. Step 3: Cross multiply
    1,354.56x = 1,866.56 × 881.93
  4. Step 4: Simplify right side
    1,354.56x = 1,646,161.52
  5. Step 5: Solve for x
    x = 1,646,161.52/1,354.56
  6. Step 6: Final answer
    x = 1,215.27

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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.