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Finding the Fourth Proportional to 2,770.57, 4,156.60 and 1,210.71

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Solution

The fourth proportional to 2,770.57, 4,156.60 and 1,210.71 is: 1,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.57 : 4,156.60 = 1,210.71 : x
  2. Step 2: Convert to fraction form
    2,770.57/4,156.60 = 1,210.71/x
  3. Step 3: Cross multiply
    2,770.57x = 4,156.60 × 1,210.71
  4. Step 4: Simplify right side
    2,770.57x = 5,032,437.19
  5. Step 5: Solve for x
    x = 5,032,437.19/2,770.57
  6. Step 6: Final answer
    x = 1,816.39

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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.