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Finding the Fourth Proportional to 1,295.09, 1,932.68 and 1,156.69

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Solution

The fourth proportional to 1,295.09, 1,932.68 and 1,156.69 is: 1,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.09 : 1,932.68 = 1,156.69 : x
  2. Step 2: Convert to fraction form
    1,295.09/1,932.68 = 1,156.69/x
  3. Step 3: Cross multiply
    1,295.09x = 1,932.68 × 1,156.69
  4. Step 4: Simplify right side
    1,295.09x = 2,235,511.63
  5. Step 5: Solve for x
    x = 2,235,511.63/1,295.09
  6. Step 6: Final answer
    x = 1,726.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.