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Finding the Fourth Proportional to 1,773.85, 2,447.50 and 1,065.45

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Solution

The fourth proportional to 1,773.85, 2,447.50 and 1,065.45 is: 1,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.85 : 2,447.50 = 1,065.45 : x
  2. Step 2: Convert to fraction form
    1,773.85/2,447.50 = 1,065.45/x
  3. Step 3: Cross multiply
    1,773.85x = 2,447.50 × 1,065.45
  4. Step 4: Simplify right side
    1,773.85x = 2,607,683.55
  5. Step 5: Solve for x
    x = 2,607,683.55/1,773.85
  6. Step 6: Final answer
    x = 1,470.07

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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.