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Finding the Fourth Proportional to 1,340.04, 1,848.78 and 873.48

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Solution

The fourth proportional to 1,340.04, 1,848.78 and 873.48 is: 1,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.04 : 1,848.78 = 873.48 : x
  2. Step 2: Convert to fraction form
    1,340.04/1,848.78 = 873.48/x
  3. Step 3: Cross multiply
    1,340.04x = 1,848.78 × 873.48
  4. Step 4: Simplify right side
    1,340.04x = 1,614,872.35
  5. Step 5: Solve for x
    x = 1,614,872.35/1,340.04
  6. Step 6: Final answer
    x = 1,205.09

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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.