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Finding the Fourth Proportional to 2,970.56, 4,098.92 and 1,775.18

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Solution

The fourth proportional to 2,970.56, 4,098.92 and 1,775.18 is: 2,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.56 : 4,098.92 = 1,775.18 : x
  2. Step 2: Convert to fraction form
    2,970.56/4,098.92 = 1,775.18/x
  3. Step 3: Cross multiply
    2,970.56x = 4,098.92 × 1,775.18
  4. Step 4: Simplify right side
    2,970.56x = 7,276,291.44
  5. Step 5: Solve for x
    x = 7,276,291.44/2,970.56
  6. Step 6: Final answer
    x = 2,449.47

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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.