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Finding the Fourth Proportional to 3,097.95, 4,275.18 and 1,771.66

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Solution

The fourth proportional to 3,097.95, 4,275.18 and 1,771.66 is: 2,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.95 : 4,275.18 = 1,771.66 : x
  2. Step 2: Convert to fraction form
    3,097.95/4,275.18 = 1,771.66/x
  3. Step 3: Cross multiply
    3,097.95x = 4,275.18 × 1,771.66
  4. Step 4: Simplify right side
    3,097.95x = 7,574,165.40
  5. Step 5: Solve for x
    x = 7,574,165.40/3,097.95
  6. Step 6: Final answer
    x = 2,444.90

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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.