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Finding the Fourth Proportional to 1,671.53, 2,509.73 and 1,234.13

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Solution

The fourth proportional to 1,671.53, 2,509.73 and 1,234.13 is: 1,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.53 : 2,509.73 = 1,234.13 : x
  2. Step 2: Convert to fraction form
    1,671.53/2,509.73 = 1,234.13/x
  3. Step 3: Cross multiply
    1,671.53x = 2,509.73 × 1,234.13
  4. Step 4: Simplify right side
    1,671.53x = 3,097,326.91
  5. Step 5: Solve for x
    x = 3,097,326.91/1,671.53
  6. Step 6: Final answer
    x = 1,852.99

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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.