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Finding the Fourth Proportional to 1,857.40, 2,785.82 and 702.88

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Solution

The fourth proportional to 1,857.40, 2,785.82 and 702.88 is: 1,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.40 : 2,785.82 = 702.88 : x
  2. Step 2: Convert to fraction form
    1,857.40/2,785.82 = 702.88/x
  3. Step 3: Cross multiply
    1,857.40x = 2,785.82 × 702.88
  4. Step 4: Simplify right side
    1,857.40x = 1,958,097.16
  5. Step 5: Solve for x
    x = 1,958,097.16/1,857.40
  6. Step 6: Final answer
    x = 1,054.21

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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.