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Finding the Fourth Proportional to 1,434.20, 1,979.51 and 910.13

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Solution

The fourth proportional to 1,434.20, 1,979.51 and 910.13 is: 1,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.20 : 1,979.51 = 910.13 : x
  2. Step 2: Convert to fraction form
    1,434.20/1,979.51 = 910.13/x
  3. Step 3: Cross multiply
    1,434.20x = 1,979.51 × 910.13
  4. Step 4: Simplify right side
    1,434.20x = 1,801,596.99
  5. Step 5: Solve for x
    x = 1,801,596.99/1,434.20
  6. Step 6: Final answer
    x = 1,256.17

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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.