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Finding the Fourth Proportional to 1,775.41, 2,666.15 and 1,683.07

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Solution

The fourth proportional to 1,775.41, 2,666.15 and 1,683.07 is: 2,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.41 : 2,666.15 = 1,683.07 : x
  2. Step 2: Convert to fraction form
    1,775.41/2,666.15 = 1,683.07/x
  3. Step 3: Cross multiply
    1,775.41x = 2,666.15 × 1,683.07
  4. Step 4: Simplify right side
    1,775.41x = 4,487,317.08
  5. Step 5: Solve for x
    x = 4,487,317.08/1,775.41
  6. Step 6: Final answer
    x = 2,527.48

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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.