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Finding the Fourth Proportional to 1,744.25, 2,407 and 947.54

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Solution

The fourth proportional to 1,744.25, 2,407 and 947.54 is: 1,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.25 : 2,407 = 947.54 : x
  2. Step 2: Convert to fraction form
    1,744.25/2,407 = 947.54/x
  3. Step 3: Cross multiply
    1,744.25x = 2,407 × 947.54
  4. Step 4: Simplify right side
    1,744.25x = 2,280,728.78
  5. Step 5: Solve for x
    x = 2,280,728.78/1,744.25
  6. Step 6: Final answer
    x = 1,307.57

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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.