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Finding the Fourth Proportional to 2,899.99, 4,002.38 and 1,780.74

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Solution

The fourth proportional to 2,899.99, 4,002.38 and 1,780.74 is: 2,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.99 : 4,002.38 = 1,780.74 : x
  2. Step 2: Convert to fraction form
    2,899.99/4,002.38 = 1,780.74/x
  3. Step 3: Cross multiply
    2,899.99x = 4,002.38 × 1,780.74
  4. Step 4: Simplify right side
    2,899.99x = 7,127,198.16
  5. Step 5: Solve for x
    x = 7,127,198.16/2,899.99
  6. Step 6: Final answer
    x = 2,457.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.