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Finding the Fourth Proportional to 2,464.40, 3,669.04 and 2,464.40

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Solution

The fourth proportional to 2,464.40, 3,669.04 and 2,464.40 is: 3,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.40 : 3,669.04 = 2,464.40 : x
  2. Step 2: Convert to fraction form
    2,464.40/3,669.04 = 2,464.40/x
  3. Step 3: Cross multiply
    2,464.40x = 3,669.04 × 2,464.40
  4. Step 4: Simplify right side
    2,464.40x = 9,041,982.18
  5. Step 5: Solve for x
    x = 9,041,982.18/2,464.40
  6. Step 6: Final answer
    x = 3,669.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.