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Finding the Fourth Proportional to 1,854.93, 2,785.49 and 1,549.16

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Solution

The fourth proportional to 1,854.93, 2,785.49 and 1,549.16 is: 2,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.93 : 2,785.49 = 1,549.16 : x
  2. Step 2: Convert to fraction form
    1,854.93/2,785.49 = 1,549.16/x
  3. Step 3: Cross multiply
    1,854.93x = 2,785.49 × 1,549.16
  4. Step 4: Simplify right side
    1,854.93x = 4,315,164.27
  5. Step 5: Solve for x
    x = 4,315,164.27/1,854.93
  6. Step 6: Final answer
    x = 2,326.32

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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.