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Finding the Fourth Proportional to 1,882.86, 2,823.60 and 649.93

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Solution

The fourth proportional to 1,882.86, 2,823.60 and 649.93 is: 974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.86 : 2,823.60 = 649.93 : x
  2. Step 2: Convert to fraction form
    1,882.86/2,823.60 = 649.93/x
  3. Step 3: Cross multiply
    1,882.86x = 2,823.60 × 649.93
  4. Step 4: Simplify right side
    1,882.86x = 1,835,142.35
  5. Step 5: Solve for x
    x = 1,835,142.35/1,882.86
  6. Step 6: Final answer
    x = 974.66

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Why These Related Problems?

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