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Finding the Fourth Proportional to 1,354.63, 1,870.91 and 1,059.48

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Solution

The fourth proportional to 1,354.63, 1,870.91 and 1,059.48 is: 1,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.63 : 1,870.91 = 1,059.48 : x
  2. Step 2: Convert to fraction form
    1,354.63/1,870.91 = 1,059.48/x
  3. Step 3: Cross multiply
    1,354.63x = 1,870.91 × 1,059.48
  4. Step 4: Simplify right side
    1,354.63x = 1,982,191.73
  5. Step 5: Solve for x
    x = 1,982,191.73/1,354.63
  6. Step 6: Final answer
    x = 1,463.27

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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.