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Finding the Fourth Proportional to 3,004.69, 4,506.29 and 895.91

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Solution

The fourth proportional to 3,004.69, 4,506.29 and 895.91 is: 1,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.69 : 4,506.29 = 895.91 : x
  2. Step 2: Convert to fraction form
    3,004.69/4,506.29 = 895.91/x
  3. Step 3: Cross multiply
    3,004.69x = 4,506.29 × 895.91
  4. Step 4: Simplify right side
    3,004.69x = 4,037,209.98
  5. Step 5: Solve for x
    x = 4,037,209.98/3,004.69
  6. Step 6: Final answer
    x = 1,343.64

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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.