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Finding the Fourth Proportional to 2,594.81, 3,894.20 and 1,903.25

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Solution

The fourth proportional to 2,594.81, 3,894.20 and 1,903.25 is: 2,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.81 : 3,894.20 = 1,903.25 : x
  2. Step 2: Convert to fraction form
    2,594.81/3,894.20 = 1,903.25/x
  3. Step 3: Cross multiply
    2,594.81x = 3,894.20 × 1,903.25
  4. Step 4: Simplify right side
    2,594.81x = 7,411,607.16
  5. Step 5: Solve for x
    x = 7,411,607.16/2,594.81
  6. Step 6: Final answer
    x = 2,856.33

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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.