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Finding the Fourth Proportional to 2,464.17, 3,695.09 and 903.06

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Solution

The fourth proportional to 2,464.17, 3,695.09 and 903.06 is: 1,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.17 : 3,695.09 = 903.06 : x
  2. Step 2: Convert to fraction form
    2,464.17/3,695.09 = 903.06/x
  3. Step 3: Cross multiply
    2,464.17x = 3,695.09 × 903.06
  4. Step 4: Simplify right side
    2,464.17x = 3,336,883.46
  5. Step 5: Solve for x
    x = 3,336,883.46/2,464.17
  6. Step 6: Final answer
    x = 1,354.16

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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.