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Finding the Fourth Proportional to 1,419.28, 1,957.38 and 921.40

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Solution

The fourth proportional to 1,419.28, 1,957.38 and 921.40 is: 1,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.28 : 1,957.38 = 921.40 : x
  2. Step 2: Convert to fraction form
    1,419.28/1,957.38 = 921.40/x
  3. Step 3: Cross multiply
    1,419.28x = 1,957.38 × 921.40
  4. Step 4: Simplify right side
    1,419.28x = 1,803,529.93
  5. Step 5: Solve for x
    x = 1,803,529.93/1,419.28
  6. Step 6: Final answer
    x = 1,270.74

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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.