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Finding the Fourth Proportional to 1,385.91, 1,911.50 and 966.13

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Solution

The fourth proportional to 1,385.91, 1,911.50 and 966.13 is: 1,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.91 : 1,911.50 = 966.13 : x
  2. Step 2: Convert to fraction form
    1,385.91/1,911.50 = 966.13/x
  3. Step 3: Cross multiply
    1,385.91x = 1,911.50 × 966.13
  4. Step 4: Simplify right side
    1,385.91x = 1,846,751.51
  5. Step 5: Solve for x
    x = 1,846,751.51/1,385.91
  6. Step 6: Final answer
    x = 1,332.52

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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.