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Finding the Fourth Proportional to 2,385.48, 3,580.30 and 1,275.78

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Solution

The fourth proportional to 2,385.48, 3,580.30 and 1,275.78 is: 1,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.48 : 3,580.30 = 1,275.78 : x
  2. Step 2: Convert to fraction form
    2,385.48/3,580.30 = 1,275.78/x
  3. Step 3: Cross multiply
    2,385.48x = 3,580.30 × 1,275.78
  4. Step 4: Simplify right side
    2,385.48x = 4,567,659.95
  5. Step 5: Solve for x
    x = 4,567,659.95/2,385.48
  6. Step 6: Final answer
    x = 1,914.78

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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.