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Finding the Fourth Proportional to 1,670.65, 2,505.98 and 1,052.82

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Solution

The fourth proportional to 1,670.65, 2,505.98 and 1,052.82 is: 1,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.65 : 2,505.98 = 1,052.82 : x
  2. Step 2: Convert to fraction form
    1,670.65/2,505.98 = 1,052.82/x
  3. Step 3: Cross multiply
    1,670.65x = 2,505.98 × 1,052.82
  4. Step 4: Simplify right side
    1,670.65x = 2,638,340.60
  5. Step 5: Solve for x
    x = 2,638,340.60/1,670.65
  6. Step 6: Final answer
    x = 1,579.23

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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.