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Finding the Fourth Proportional to 3,004.59, 4,506.49 and 896.19

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Solution

The fourth proportional to 3,004.59, 4,506.49 and 896.19 is: 1,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.59 : 4,506.49 = 896.19 : x
  2. Step 2: Convert to fraction form
    3,004.59/4,506.49 = 896.19/x
  3. Step 3: Cross multiply
    3,004.59x = 4,506.49 × 896.19
  4. Step 4: Simplify right side
    3,004.59x = 4,038,663.13
  5. Step 5: Solve for x
    x = 4,038,663.13/3,004.59
  6. Step 6: Final answer
    x = 1,344.16

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1.5x scale

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.