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Finding the Fourth Proportional to 1,400.51, 2,101.98 and 914.10

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Solution

The fourth proportional to 1,400.51, 2,101.98 and 914.10 is: 1,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.51 : 2,101.98 = 914.10 : x
  2. Step 2: Convert to fraction form
    1,400.51/2,101.98 = 914.10/x
  3. Step 3: Cross multiply
    1,400.51x = 2,101.98 × 914.10
  4. Step 4: Simplify right side
    1,400.51x = 1,921,419.92
  5. Step 5: Solve for x
    x = 1,921,419.92/1,400.51
  6. Step 6: Final answer
    x = 1,371.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.