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Finding the Fourth Proportional to 1,491.69, 2,059.53 and 932.94

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Solution

The fourth proportional to 1,491.69, 2,059.53 and 932.94 is: 1,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.69 : 2,059.53 = 932.94 : x
  2. Step 2: Convert to fraction form
    1,491.69/2,059.53 = 932.94/x
  3. Step 3: Cross multiply
    1,491.69x = 2,059.53 × 932.94
  4. Step 4: Simplify right side
    1,491.69x = 1,921,417.92
  5. Step 5: Solve for x
    x = 1,921,417.92/1,491.69
  6. Step 6: Final answer
    x = 1,288.08

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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.