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Finding the Fourth Proportional to 1,385.69, 2,077.85 and 947.61

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Solution

The fourth proportional to 1,385.69, 2,077.85 and 947.61 is: 1,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.69 : 2,077.85 = 947.61 : x
  2. Step 2: Convert to fraction form
    1,385.69/2,077.85 = 947.61/x
  3. Step 3: Cross multiply
    1,385.69x = 2,077.85 × 947.61
  4. Step 4: Simplify right side
    1,385.69x = 1,968,993.81
  5. Step 5: Solve for x
    x = 1,968,993.81/1,385.69
  6. Step 6: Final answer
    x = 1,420.95

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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.