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Finding the Fourth Proportional to 2,088.81, 3,134.07 and 702.32

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Solution

The fourth proportional to 2,088.81, 3,134.07 and 702.32 is: 1,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.81 : 3,134.07 = 702.32 : x
  2. Step 2: Convert to fraction form
    2,088.81/3,134.07 = 702.32/x
  3. Step 3: Cross multiply
    2,088.81x = 3,134.07 × 702.32
  4. Step 4: Simplify right side
    2,088.81x = 2,201,104.37
  5. Step 5: Solve for x
    x = 2,201,104.37/2,088.81
  6. Step 6: Final answer
    x = 1,053.76

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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.