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Finding the Fourth Proportional to 3,068.15, 4,602.39 and 877.21

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Solution

The fourth proportional to 3,068.15, 4,602.39 and 877.21 is: 1,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.15 : 4,602.39 = 877.21 : x
  2. Step 2: Convert to fraction form
    3,068.15/4,602.39 = 877.21/x
  3. Step 3: Cross multiply
    3,068.15x = 4,602.39 × 877.21
  4. Step 4: Simplify right side
    3,068.15x = 4,037,258.15
  5. Step 5: Solve for x
    x = 4,037,258.15/3,068.15
  6. Step 6: Final answer
    x = 1,315.86

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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.