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Finding the Fourth Proportional to 2,025.90, 3,037.02 and 1,409.90

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Solution

The fourth proportional to 2,025.90, 3,037.02 and 1,409.90 is: 2,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.90 : 3,037.02 = 1,409.90 : x
  2. Step 2: Convert to fraction form
    2,025.90/3,037.02 = 1,409.90/x
  3. Step 3: Cross multiply
    2,025.90x = 3,037.02 × 1,409.90
  4. Step 4: Simplify right side
    2,025.90x = 4,281,894.50
  5. Step 5: Solve for x
    x = 4,281,894.50/2,025.90
  6. Step 6: Final answer
    x = 2,113.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.