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Finding the Fourth Proportional to 1,884.32, 2,583.20 and 1,854.08

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Solution

The fourth proportional to 1,884.32, 2,583.20 and 1,854.08 is: 2,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.32 : 2,583.20 = 1,854.08 : x
  2. Step 2: Convert to fraction form
    1,884.32/2,583.20 = 1,854.08/x
  3. Step 3: Cross multiply
    1,884.32x = 2,583.20 × 1,854.08
  4. Step 4: Simplify right side
    1,884.32x = 4,789,459.46
  5. Step 5: Solve for x
    x = 4,789,459.46/1,884.32
  6. Step 6: Final answer
    x = 2,541.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.