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Finding the Fourth Proportional to 1,340.90, 1,846.98 and 947.24

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Solution

The fourth proportional to 1,340.90, 1,846.98 and 947.24 is: 1,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.90 : 1,846.98 = 947.24 : x
  2. Step 2: Convert to fraction form
    1,340.90/1,846.98 = 947.24/x
  3. Step 3: Cross multiply
    1,340.90x = 1,846.98 × 947.24
  4. Step 4: Simplify right side
    1,340.90x = 1,749,533.34
  5. Step 5: Solve for x
    x = 1,749,533.34/1,340.90
  6. Step 6: Final answer
    x = 1,304.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.