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Finding the Fourth Proportional to 3,101.40, 4,658.28 and 1,854.41

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Solution

The fourth proportional to 3,101.40, 4,658.28 and 1,854.41 is: 2,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.40 : 4,658.28 = 1,854.41 : x
  2. Step 2: Convert to fraction form
    3,101.40/4,658.28 = 1,854.41/x
  3. Step 3: Cross multiply
    3,101.40x = 4,658.28 × 1,854.41
  4. Step 4: Simplify right side
    3,101.40x = 8,638,330.77
  5. Step 5: Solve for x
    x = 8,638,330.77/3,101.40
  6. Step 6: Final answer
    x = 2,785.30

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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.