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Finding the Fourth Proportional to 1,419.06, 1,957.78 and 1,046.94

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Solution

The fourth proportional to 1,419.06, 1,957.78 and 1,046.94 is: 1,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.06 : 1,957.78 = 1,046.94 : x
  2. Step 2: Convert to fraction form
    1,419.06/1,957.78 = 1,046.94/x
  3. Step 3: Cross multiply
    1,419.06x = 1,957.78 × 1,046.94
  4. Step 4: Simplify right side
    1,419.06x = 2,049,678.19
  5. Step 5: Solve for x
    x = 2,049,678.19/1,419.06
  6. Step 6: Final answer
    x = 1,444.39

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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.