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Finding the Fourth Proportional to 1,434.91, 2,152.97 and 784.89

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Solution

The fourth proportional to 1,434.91, 2,152.97 and 784.89 is: 1,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.91 : 2,152.97 = 784.89 : x
  2. Step 2: Convert to fraction form
    1,434.91/2,152.97 = 784.89/x
  3. Step 3: Cross multiply
    1,434.91x = 2,152.97 × 784.89
  4. Step 4: Simplify right side
    1,434.91x = 1,689,833.86
  5. Step 5: Solve for x
    x = 1,689,833.86/1,434.91
  6. Step 6: Final answer
    x = 1,177.66

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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.