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Finding the Fourth Proportional to 1,428.32, 1,970 and 1,036.64

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Solution

The fourth proportional to 1,428.32, 1,970 and 1,036.64 is: 1,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.32 : 1,970 = 1,036.64 : x
  2. Step 2: Convert to fraction form
    1,428.32/1,970 = 1,036.64/x
  3. Step 3: Cross multiply
    1,428.32x = 1,970 × 1,036.64
  4. Step 4: Simplify right side
    1,428.32x = 2,042,180.80
  5. Step 5: Solve for x
    x = 2,042,180.80/1,428.32
  6. Step 6: Final answer
    x = 1,429.78

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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.