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Finding the Fourth Proportional to 2,050.02, 2,829.23 and 1,210.99

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Solution

The fourth proportional to 2,050.02, 2,829.23 and 1,210.99 is: 1,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.02 : 2,829.23 = 1,210.99 : x
  2. Step 2: Convert to fraction form
    2,050.02/2,829.23 = 1,210.99/x
  3. Step 3: Cross multiply
    2,050.02x = 2,829.23 × 1,210.99
  4. Step 4: Simplify right side
    2,050.02x = 3,426,169.24
  5. Step 5: Solve for x
    x = 3,426,169.24/2,050.02
  6. Step 6: Final answer
    x = 1,671.29

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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.