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Finding the Fourth Proportional to 1,418.85, 1,958.37 and 947.52

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Solution

The fourth proportional to 1,418.85, 1,958.37 and 947.52 is: 1,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.85 : 1,958.37 = 947.52 : x
  2. Step 2: Convert to fraction form
    1,418.85/1,958.37 = 947.52/x
  3. Step 3: Cross multiply
    1,418.85x = 1,958.37 × 947.52
  4. Step 4: Simplify right side
    1,418.85x = 1,855,594.74
  5. Step 5: Solve for x
    x = 1,855,594.74/1,418.85
  6. Step 6: Final answer
    x = 1,307.82

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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.