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Finding the Fourth Proportional to 2,756.62, 4,118.18 and 1,970.38

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Solution

The fourth proportional to 2,756.62, 4,118.18 and 1,970.38 is: 2,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.62 : 4,118.18 = 1,970.38 : x
  2. Step 2: Convert to fraction form
    2,756.62/4,118.18 = 1,970.38/x
  3. Step 3: Cross multiply
    2,756.62x = 4,118.18 × 1,970.38
  4. Step 4: Simplify right side
    2,756.62x = 8,114,379.51
  5. Step 5: Solve for x
    x = 8,114,379.51/2,756.62
  6. Step 6: Final answer
    x = 2,943.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.