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Finding the Fourth Proportional to 1,807.69, 2,493.10 and 1,434.08

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Solution

The fourth proportional to 1,807.69, 2,493.10 and 1,434.08 is: 1,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.69 : 2,493.10 = 1,434.08 : x
  2. Step 2: Convert to fraction form
    1,807.69/2,493.10 = 1,434.08/x
  3. Step 3: Cross multiply
    1,807.69x = 2,493.10 × 1,434.08
  4. Step 4: Simplify right side
    1,807.69x = 3,575,290.78
  5. Step 5: Solve for x
    x = 3,575,290.78/1,807.69
  6. Step 6: Final answer
    x = 1,977.82

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