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Finding the Fourth Proportional to 3,465.70, 4,781.48 and 1,973.24

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Solution

The fourth proportional to 3,465.70, 4,781.48 and 1,973.24 is: 2,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.70 : 4,781.48 = 1,973.24 : x
  2. Step 2: Convert to fraction form
    3,465.70/4,781.48 = 1,973.24/x
  3. Step 3: Cross multiply
    3,465.70x = 4,781.48 × 1,973.24
  4. Step 4: Simplify right side
    3,465.70x = 9,435,007.60
  5. Step 5: Solve for x
    x = 9,435,007.60/3,465.70
  6. Step 6: Final answer
    x = 2,722.40

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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.