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Finding the Fourth Proportional to 2,140.53, 3,210.79 and 1,409.93

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Solution

The fourth proportional to 2,140.53, 3,210.79 and 1,409.93 is: 2,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.53 : 3,210.79 = 1,409.93 : x
  2. Step 2: Convert to fraction form
    2,140.53/3,210.79 = 1,409.93/x
  3. Step 3: Cross multiply
    2,140.53x = 3,210.79 × 1,409.93
  4. Step 4: Simplify right side
    2,140.53x = 4,526,993.28
  5. Step 5: Solve for x
    x = 4,526,993.28/2,140.53
  6. Step 6: Final answer
    x = 2,114.90

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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.