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Finding the Fourth Proportional to 3,135.75, 4,702.40 and 1,674.10

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Solution

The fourth proportional to 3,135.75, 4,702.40 and 1,674.10 is: 2,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.75 : 4,702.40 = 1,674.10 : x
  2. Step 2: Convert to fraction form
    3,135.75/4,702.40 = 1,674.10/x
  3. Step 3: Cross multiply
    3,135.75x = 4,702.40 × 1,674.10
  4. Step 4: Simplify right side
    3,135.75x = 7,872,287.84
  5. Step 5: Solve for x
    x = 7,872,287.84/3,135.75
  6. Step 6: Final answer
    x = 2,510.50

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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.