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Finding the Fourth Proportional to 2,875.33, 4,312.09 and 1,906.57

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Solution

The fourth proportional to 2,875.33, 4,312.09 and 1,906.57 is: 2,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.33 : 4,312.09 = 1,906.57 : x
  2. Step 2: Convert to fraction form
    2,875.33/4,312.09 = 1,906.57/x
  3. Step 3: Cross multiply
    2,875.33x = 4,312.09 × 1,906.57
  4. Step 4: Simplify right side
    2,875.33x = 8,221,301.43
  5. Step 5: Solve for x
    x = 8,221,301.43/2,875.33
  6. Step 6: Final answer
    x = 2,859.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.