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Finding the Fourth Proportional to 2,891.80, 4,337.70 and 1,430.76

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Solution

The fourth proportional to 2,891.80, 4,337.70 and 1,430.76 is: 2,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.80 : 4,337.70 = 1,430.76 : x
  2. Step 2: Convert to fraction form
    2,891.80/4,337.70 = 1,430.76/x
  3. Step 3: Cross multiply
    2,891.80x = 4,337.70 × 1,430.76
  4. Step 4: Simplify right side
    2,891.80x = 6,206,207.65
  5. Step 5: Solve for x
    x = 6,206,207.65/2,891.80
  6. Step 6: Final answer
    x = 2,146.14

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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.