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Finding the Fourth Proportional to 2,870.61, 4,306.29 and 1,979.49

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Solution

The fourth proportional to 2,870.61, 4,306.29 and 1,979.49 is: 2,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.61 : 4,306.29 = 1,979.49 : x
  2. Step 2: Convert to fraction form
    2,870.61/4,306.29 = 1,979.49/x
  3. Step 3: Cross multiply
    2,870.61x = 4,306.29 × 1,979.49
  4. Step 4: Simplify right side
    2,870.61x = 8,524,253.63
  5. Step 5: Solve for x
    x = 8,524,253.63/2,870.61
  6. Step 6: Final answer
    x = 2,969.49

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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.