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Finding the Fourth Proportional to 1,771.81, 2,445.47 and 1,420.07

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Solution

The fourth proportional to 1,771.81, 2,445.47 and 1,420.07 is: 1,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.81 : 2,445.47 = 1,420.07 : x
  2. Step 2: Convert to fraction form
    1,771.81/2,445.47 = 1,420.07/x
  3. Step 3: Cross multiply
    1,771.81x = 2,445.47 × 1,420.07
  4. Step 4: Simplify right side
    1,771.81x = 3,472,738.58
  5. Step 5: Solve for x
    x = 3,472,738.58/1,771.81
  6. Step 6: Final answer
    x = 1,959.99

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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.