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Finding the Fourth Proportional to 2,816.64, 3,884.82 and 1,870.74

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Solution

The fourth proportional to 2,816.64, 3,884.82 and 1,870.74 is: 2,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.64 : 3,884.82 = 1,870.74 : x
  2. Step 2: Convert to fraction form
    2,816.64/3,884.82 = 1,870.74/x
  3. Step 3: Cross multiply
    2,816.64x = 3,884.82 × 1,870.74
  4. Step 4: Simplify right side
    2,816.64x = 7,267,488.17
  5. Step 5: Solve for x
    x = 7,267,488.17/2,816.64
  6. Step 6: Final answer
    x = 2,580.20

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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.