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Finding the Fourth Proportional to 2,634.42, 3,952.35 and 903.18

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Solution

The fourth proportional to 2,634.42, 3,952.35 and 903.18 is: 1,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.42 : 3,952.35 = 903.18 : x
  2. Step 2: Convert to fraction form
    2,634.42/3,952.35 = 903.18/x
  3. Step 3: Cross multiply
    2,634.42x = 3,952.35 × 903.18
  4. Step 4: Simplify right side
    2,634.42x = 3,569,683.47
  5. Step 5: Solve for x
    x = 3,569,683.47/2,634.42
  6. Step 6: Final answer
    x = 1,355.02

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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.