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Finding the Fourth Proportional to 2,977.61, 4,109.10 and 1,651.40

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Solution

The fourth proportional to 2,977.61, 4,109.10 and 1,651.40 is: 2,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.61 : 4,109.10 = 1,651.40 : x
  2. Step 2: Convert to fraction form
    2,977.61/4,109.10 = 1,651.40/x
  3. Step 3: Cross multiply
    2,977.61x = 4,109.10 × 1,651.40
  4. Step 4: Simplify right side
    2,977.61x = 6,785,767.74
  5. Step 5: Solve for x
    x = 6,785,767.74/2,977.61
  6. Step 6: Final answer
    x = 2,278.93

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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.