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Finding the Fourth Proportional to 1,429.74, 1,973.64 and 1,036.69

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Solution

The fourth proportional to 1,429.74, 1,973.64 and 1,036.69 is: 1,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.74 : 1,973.64 = 1,036.69 : x
  2. Step 2: Convert to fraction form
    1,429.74/1,973.64 = 1,036.69/x
  3. Step 3: Cross multiply
    1,429.74x = 1,973.64 × 1,036.69
  4. Step 4: Simplify right side
    1,429.74x = 2,046,052.85
  5. Step 5: Solve for x
    x = 2,046,052.85/1,429.74
  6. Step 6: Final answer
    x = 1,431.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.