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Finding the Fourth Proportional to 2,250.64, 3,104.12 and 1,464.94

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Solution

The fourth proportional to 2,250.64, 3,104.12 and 1,464.94 is: 2,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.64 : 3,104.12 = 1,464.94 : x
  2. Step 2: Convert to fraction form
    2,250.64/3,104.12 = 1,464.94/x
  3. Step 3: Cross multiply
    2,250.64x = 3,104.12 × 1,464.94
  4. Step 4: Simplify right side
    2,250.64x = 4,547,349.55
  5. Step 5: Solve for x
    x = 4,547,349.55/2,250.64
  6. Step 6: Final answer
    x = 2,020.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.