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Finding the Fourth Proportional to 2,975.78, 4,465.16 and 1,333.50

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Solution

The fourth proportional to 2,975.78, 4,465.16 and 1,333.50 is: 2,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.78 : 4,465.16 = 1,333.50 : x
  2. Step 2: Convert to fraction form
    2,975.78/4,465.16 = 1,333.50/x
  3. Step 3: Cross multiply
    2,975.78x = 4,465.16 × 1,333.50
  4. Step 4: Simplify right side
    2,975.78x = 5,954,290.86
  5. Step 5: Solve for x
    x = 5,954,290.86/2,975.78
  6. Step 6: Final answer
    x = 2,000.92

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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.