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Finding the Fourth Proportional to 2,383.68, 3,569.75 and 1,210.60

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Solution

The fourth proportional to 2,383.68, 3,569.75 and 1,210.60 is: 1,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.68 : 3,569.75 = 1,210.60 : x
  2. Step 2: Convert to fraction form
    2,383.68/3,569.75 = 1,210.60/x
  3. Step 3: Cross multiply
    2,383.68x = 3,569.75 × 1,210.60
  4. Step 4: Simplify right side
    2,383.68x = 4,321,518.81
  5. Step 5: Solve for x
    x = 4,321,518.81/2,383.68
  6. Step 6: Final answer
    x = 1,812.96

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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.