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Finding the Fourth Proportional to 2,957.67, 4,434.95 and 877.39

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Solution

The fourth proportional to 2,957.67, 4,434.95 and 877.39 is: 1,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.67 : 4,434.95 = 877.39 : x
  2. Step 2: Convert to fraction form
    2,957.67/4,434.95 = 877.39/x
  3. Step 3: Cross multiply
    2,957.67x = 4,434.95 × 877.39
  4. Step 4: Simplify right side
    2,957.67x = 3,891,171.89
  5. Step 5: Solve for x
    x = 3,891,171.89/2,957.67
  6. Step 6: Final answer
    x = 1,315.62

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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.