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Finding the Fourth Proportional to 2,445.94, 3,668.90 and 597.05

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Solution

The fourth proportional to 2,445.94, 3,668.90 and 597.05 is: 895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.94 : 3,668.90 = 597.05 : x
  2. Step 2: Convert to fraction form
    2,445.94/3,668.90 = 597.05/x
  3. Step 3: Cross multiply
    2,445.94x = 3,668.90 × 597.05
  4. Step 4: Simplify right side
    2,445.94x = 2,190,516.75
  5. Step 5: Solve for x
    x = 2,190,516.75/2,445.94
  6. Step 6: Final answer
    x = 895.57

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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.