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Finding the Fourth Proportional to 2,976.78, 4,465.87 and 1,416

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Solution

The fourth proportional to 2,976.78, 4,465.87 and 1,416 is: 2,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.78 : 4,465.87 = 1,416 : x
  2. Step 2: Convert to fraction form
    2,976.78/4,465.87 = 1,416/x
  3. Step 3: Cross multiply
    2,976.78x = 4,465.87 × 1,416
  4. Step 4: Simplify right side
    2,976.78x = 6,323,668.38
  5. Step 5: Solve for x
    x = 6,323,668.38/2,976.78
  6. Step 6: Final answer
    x = 2,124.33

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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.