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Finding the Fourth Proportional to 1,733.14, 2,391.74 and 947.21

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Solution

The fourth proportional to 1,733.14, 2,391.74 and 947.21 is: 1,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.14 : 2,391.74 = 947.21 : x
  2. Step 2: Convert to fraction form
    1,733.14/2,391.74 = 947.21/x
  3. Step 3: Cross multiply
    1,733.14x = 2,391.74 × 947.21
  4. Step 4: Simplify right side
    1,733.14x = 2,265,470.45
  5. Step 5: Solve for x
    x = 2,265,470.45/1,733.14
  6. Step 6: Final answer
    x = 1,307.15

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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.