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Finding the Fourth Proportional to 1,295.56, 1,941.58 and 947.26

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Solution

The fourth proportional to 1,295.56, 1,941.58 and 947.26 is: 1,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.56 : 1,941.58 = 947.26 : x
  2. Step 2: Convert to fraction form
    1,295.56/1,941.58 = 947.26/x
  3. Step 3: Cross multiply
    1,295.56x = 1,941.58 × 947.26
  4. Step 4: Simplify right side
    1,295.56x = 1,839,181.07
  5. Step 5: Solve for x
    x = 1,839,181.07/1,295.56
  6. Step 6: Final answer
    x = 1,419.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.