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Finding the Fourth Proportional to 2,827.48, 3,901.80 and 1,648.60

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Solution

The fourth proportional to 2,827.48, 3,901.80 and 1,648.60 is: 2,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.48 : 3,901.80 = 1,648.60 : x
  2. Step 2: Convert to fraction form
    2,827.48/3,901.80 = 1,648.60/x
  3. Step 3: Cross multiply
    2,827.48x = 3,901.80 × 1,648.60
  4. Step 4: Simplify right side
    2,827.48x = 6,432,507.48
  5. Step 5: Solve for x
    x = 6,432,507.48/2,827.48
  6. Step 6: Final answer
    x = 2,275.00

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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.