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Finding the Fourth Proportional to 1,773.61, 2,666.42 and 1,429.36

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Solution

The fourth proportional to 1,773.61, 2,666.42 and 1,429.36 is: 2,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.61 : 2,666.42 = 1,429.36 : x
  2. Step 2: Convert to fraction form
    1,773.61/2,666.42 = 1,429.36/x
  3. Step 3: Cross multiply
    1,773.61x = 2,666.42 × 1,429.36
  4. Step 4: Simplify right side
    1,773.61x = 3,811,253.61
  5. Step 5: Solve for x
    x = 3,811,253.61/1,773.61
  6. Step 6: Final answer
    x = 2,148.87

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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.