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Finding the Fourth Proportional to 1,470.02, 2,027.46 and 946.10

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Solution

The fourth proportional to 1,470.02, 2,027.46 and 946.10 is: 1,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.02 : 2,027.46 = 946.10 : x
  2. Step 2: Convert to fraction form
    1,470.02/2,027.46 = 946.10/x
  3. Step 3: Cross multiply
    1,470.02x = 2,027.46 × 946.10
  4. Step 4: Simplify right side
    1,470.02x = 1,918,179.91
  5. Step 5: Solve for x
    x = 1,918,179.91/1,470.02
  6. Step 6: Final answer
    x = 1,304.87

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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.