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Finding the Fourth Proportional to 2,854.30, 4,284.16 and 1,881.04

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Solution

The fourth proportional to 2,854.30, 4,284.16 and 1,881.04 is: 2,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.30 : 4,284.16 = 1,881.04 : x
  2. Step 2: Convert to fraction form
    2,854.30/4,284.16 = 1,881.04/x
  3. Step 3: Cross multiply
    2,854.30x = 4,284.16 × 1,881.04
  4. Step 4: Simplify right side
    2,854.30x = 8,058,676.33
  5. Step 5: Solve for x
    x = 8,058,676.33/2,854.30
  6. Step 6: Final answer
    x = 2,823.35

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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.