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Finding the Fourth Proportional to 2,130.87, 3,194.72 and 1,435.59

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Solution

The fourth proportional to 2,130.87, 3,194.72 and 1,435.59 is: 2,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.87 : 3,194.72 = 1,435.59 : x
  2. Step 2: Convert to fraction form
    2,130.87/3,194.72 = 1,435.59/x
  3. Step 3: Cross multiply
    2,130.87x = 3,194.72 × 1,435.59
  4. Step 4: Simplify right side
    2,130.87x = 4,586,300.91
  5. Step 5: Solve for x
    x = 4,586,300.91/2,130.87
  6. Step 6: Final answer
    x = 2,152.31

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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.