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Finding the Fourth Proportional to 2,798.58, 3,862.06 and 1,680.48

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Solution

The fourth proportional to 2,798.58, 3,862.06 and 1,680.48 is: 2,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.58 : 3,862.06 = 1,680.48 : x
  2. Step 2: Convert to fraction form
    2,798.58/3,862.06 = 1,680.48/x
  3. Step 3: Cross multiply
    2,798.58x = 3,862.06 × 1,680.48
  4. Step 4: Simplify right side
    2,798.58x = 6,490,114.59
  5. Step 5: Solve for x
    x = 6,490,114.59/2,798.58
  6. Step 6: Final answer
    x = 2,319.07

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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.