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Finding the Fourth Proportional to 1,369.14, 2,053.68 and 929.30

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Solution

The fourth proportional to 1,369.14, 2,053.68 and 929.30 is: 1,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.14 : 2,053.68 = 929.30 : x
  2. Step 2: Convert to fraction form
    1,369.14/2,053.68 = 929.30/x
  3. Step 3: Cross multiply
    1,369.14x = 2,053.68 × 929.30
  4. Step 4: Simplify right side
    1,369.14x = 1,908,474.56
  5. Step 5: Solve for x
    x = 1,908,474.56/1,369.14
  6. Step 6: Final answer
    x = 1,393.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.