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Finding the Fourth Proportional to 1,470, 2,029.68 and 1,077.60

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Solution

The fourth proportional to 1,470, 2,029.68 and 1,077.60 is: 1,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470 : 2,029.68 = 1,077.60 : x
  2. Step 2: Convert to fraction form
    1,470/2,029.68 = 1,077.60/x
  3. Step 3: Cross multiply
    1,470x = 2,029.68 × 1,077.60
  4. Step 4: Simplify right side
    1,470x = 2,187,183.17
  5. Step 5: Solve for x
    x = 2,187,183.17/1,470
  6. Step 6: Final answer
    x = 1,487.88

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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.