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Finding the Fourth Proportional to 3,054.33, 4,215.10 and 1,875.78

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Solution

The fourth proportional to 3,054.33, 4,215.10 and 1,875.78 is: 2,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.33 : 4,215.10 = 1,875.78 : x
  2. Step 2: Convert to fraction form
    3,054.33/4,215.10 = 1,875.78/x
  3. Step 3: Cross multiply
    3,054.33x = 4,215.10 × 1,875.78
  4. Step 4: Simplify right side
    3,054.33x = 7,906,613.60
  5. Step 5: Solve for x
    x = 7,906,613.60/3,054.33
  6. Step 6: Final answer
    x = 2,588.65

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