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Finding the Fourth Proportional to 1,671.77, 2,307.12 and 963.72

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Solution

The fourth proportional to 1,671.77, 2,307.12 and 963.72 is: 1,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.77 : 2,307.12 = 963.72 : x
  2. Step 2: Convert to fraction form
    1,671.77/2,307.12 = 963.72/x
  3. Step 3: Cross multiply
    1,671.77x = 2,307.12 × 963.72
  4. Step 4: Simplify right side
    1,671.77x = 2,223,401.33
  5. Step 5: Solve for x
    x = 2,223,401.33/1,671.77
  6. Step 6: Final answer
    x = 1,329.97

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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.